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Finding the Third Proportional to 24,073.13 and 35,218.13

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Solution

The third proportional to 24,073.13 and 35,218.13 is: 51,522.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,073.13 : 35,218.13 = 35,218.13 : x
  2. Step 2: Convert to fraction form
    24,073.13/35,218.13 = 35,218.13/x
  3. Step 3: Cross multiply
    24,073.13x = 35,218.13 × 35,218.13
  4. Step 4: Simplify right side
    24,073.13x = 1,240,316,328.52
  5. Step 5: Solve for x
    x = 1,240,316,328.52/24,073.13
  6. Step 6: Final answer
    x = 51,522.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.