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Finding the Third Proportional to 24,957 and 37,695.38

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Solution

The third proportional to 24,957 and 37,695.38 is: 56,935.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,957 : 37,695.38 = 37,695.38 : x
  2. Step 2: Convert to fraction form
    24,957/37,695.38 = 37,695.38/x
  3. Step 3: Cross multiply
    24,957x = 37,695.38 × 37,695.38
  4. Step 4: Simplify right side
    24,957x = 1,420,941,296.39
  5. Step 5: Solve for x
    x = 1,420,941,296.39/24,957
  6. Step 6: Final answer
    x = 56,935.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.