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Finding the Third Proportional to 24,974 and 37,730

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Solution

The third proportional to 24,974 and 37,730 is: 57,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,974 : 37,730 = 37,730 : x
  2. Step 2: Convert to fraction form
    24,974/37,730 = 37,730/x
  3. Step 3: Cross multiply
    24,974x = 37,730 × 37,730
  4. Step 4: Simplify right side
    24,974x = 1,423,552,900
  5. Step 5: Solve for x
    x = 1,423,552,900/24,974
  6. Step 6: Final answer
    x = 57,001.40

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Why These Related Problems?

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