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Finding the Third Proportional to 16,013.25 and 24,407.16

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Solution

The third proportional to 16,013.25 and 24,407.16 is: 37,201.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,013.25 : 24,407.16 = 24,407.16 : x
  2. Step 2: Convert to fraction form
    16,013.25/24,407.16 = 24,407.16/x
  3. Step 3: Cross multiply
    16,013.25x = 24,407.16 × 24,407.16
  4. Step 4: Simplify right side
    16,013.25x = 595,709,276.21
  5. Step 5: Solve for x
    x = 595,709,276.21/16,013.25
  6. Step 6: Final answer
    x = 37,201.02

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Why These Related Problems?

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