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Finding the Third Proportional to 16,407.75 and 24,264.75

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Solution

The third proportional to 16,407.75 and 24,264.75 is: 35,884.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.75 : 24,264.75 = 24,264.75 : x
  2. Step 2: Convert to fraction form
    16,407.75/24,264.75 = 24,264.75/x
  3. Step 3: Cross multiply
    16,407.75x = 24,264.75 × 24,264.75
  4. Step 4: Simplify right side
    16,407.75x = 588,778,092.56
  5. Step 5: Solve for x
    x = 588,778,092.56/16,407.75
  6. Step 6: Final answer
    x = 35,884.15

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.