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Finding the Third Proportional to 24,950 and 39,501

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Solution

The third proportional to 24,950 and 39,501 is: 62,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,950 : 39,501 = 39,501 : x
  2. Step 2: Convert to fraction form
    24,950/39,501 = 39,501/x
  3. Step 3: Cross multiply
    24,950x = 39,501 × 39,501
  4. Step 4: Simplify right side
    24,950x = 1,560,329,001
  5. Step 5: Solve for x
    x = 1,560,329,001/24,950
  6. Step 6: Final answer
    x = 62,538.24

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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.