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Finding the Third Proportional to 16,261.54 and 24,565.31

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Solution

The third proportional to 16,261.54 and 24,565.31 is: 37,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,261.54 : 24,565.31 = 24,565.31 : x
  2. Step 2: Convert to fraction form
    16,261.54/24,565.31 = 24,565.31/x
  3. Step 3: Cross multiply
    16,261.54x = 24,565.31 × 24,565.31
  4. Step 4: Simplify right side
    16,261.54x = 603,454,290.35
  5. Step 5: Solve for x
    x = 603,454,290.35/16,261.54
  6. Step 6: Final answer
    x = 37,109.29

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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.