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Finding the Third Proportional to 29,661.19 and 40,510.76

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Solution

The third proportional to 29,661.19 and 40,510.76 is: 55,328.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,661.19 : 40,510.76 = 40,510.76 : x
  2. Step 2: Convert to fraction form
    29,661.19/40,510.76 = 40,510.76/x
  3. Step 3: Cross multiply
    29,661.19x = 40,510.76 × 40,510.76
  4. Step 4: Simplify right side
    29,661.19x = 1,641,121,498.54
  5. Step 5: Solve for x
    x = 1,641,121,498.54/29,661.19
  6. Step 6: Final answer
    x = 55,328.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.