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Finding the Third Proportional to 24,495 and 36,382

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Solution

The third proportional to 24,495 and 36,382 is: 54,037.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,495 : 36,382 = 36,382 : x
  2. Step 2: Convert to fraction form
    24,495/36,382 = 36,382/x
  3. Step 3: Cross multiply
    24,495x = 36,382 × 36,382
  4. Step 4: Simplify right side
    24,495x = 1,323,649,924
  5. Step 5: Solve for x
    x = 1,323,649,924/24,495
  6. Step 6: Final answer
    x = 54,037.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.