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Finding the Third Proportional to 24,416.44 and 40,510.13

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Solution

The third proportional to 24,416.44 and 40,510.13 is: 67,211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416.44 : 40,510.13 = 40,510.13 : x
  2. Step 2: Convert to fraction form
    24,416.44/40,510.13 = 40,510.13/x
  3. Step 3: Cross multiply
    24,416.44x = 40,510.13 × 40,510.13
  4. Step 4: Simplify right side
    24,416.44x = 1,641,070,227.52
  5. Step 5: Solve for x
    x = 1,641,070,227.52/24,416.44
  6. Step 6: Final answer
    x = 67,211.70

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.