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Finding the Third Proportional to 24,886 and 39,405

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Solution

The third proportional to 24,886 and 39,405 is: 62,394.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,886 : 39,405 = 39,405 : x
  2. Step 2: Convert to fraction form
    24,886/39,405 = 39,405/x
  3. Step 3: Cross multiply
    24,886x = 39,405 × 39,405
  4. Step 4: Simplify right side
    24,886x = 1,552,754,025
  5. Step 5: Solve for x
    x = 1,552,754,025/24,886
  6. Step 6: Final answer
    x = 62,394.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.