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Finding the Third Proportional to 16,005.75 and 24,730.13

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Solution

The third proportional to 16,005.75 and 24,730.13 is: 38,209.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.75 : 24,730.13 = 24,730.13 : x
  2. Step 2: Convert to fraction form
    16,005.75/24,730.13 = 24,730.13/x
  3. Step 3: Cross multiply
    16,005.75x = 24,730.13 × 24,730.13
  4. Step 4: Simplify right side
    16,005.75x = 611,579,082.52
  5. Step 5: Solve for x
    x = 611,579,082.52/16,005.75
  6. Step 6: Final answer
    x = 38,209.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.