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Finding the Third Proportional to 24,565.78 and 37,304.30

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Solution

The third proportional to 24,565.78 and 37,304.30 is: 56,648.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,565.78 : 37,304.30 = 37,304.30 : x
  2. Step 2: Convert to fraction form
    24,565.78/37,304.30 = 37,304.30/x
  3. Step 3: Cross multiply
    24,565.78x = 37,304.30 × 37,304.30
  4. Step 4: Simplify right side
    24,565.78x = 1,391,610,565.34
  5. Step 5: Solve for x
    x = 1,391,610,565.34/24,565.78
  6. Step 6: Final answer
    x = 56,648.33

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.