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Finding the Third Proportional to 24,031.69 and 39,943.13

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Solution

The third proportional to 24,031.69 and 39,943.13 is: 66,389.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,031.69 : 39,943.13 = 39,943.13 : x
  2. Step 2: Convert to fraction form
    24,031.69/39,943.13 = 39,943.13/x
  3. Step 3: Cross multiply
    24,031.69x = 39,943.13 × 39,943.13
  4. Step 4: Simplify right side
    24,031.69x = 1,595,453,234.77
  5. Step 5: Solve for x
    x = 1,595,453,234.77/24,031.69
  6. Step 6: Final answer
    x = 66,389.56

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1.5x scale

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.