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Finding the Third Proportional to 16,017.75 and 24,634.13

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Solution

The third proportional to 16,017.75 and 24,634.13 is: 37,885.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,017.75 : 24,634.13 = 24,634.13 : x
  2. Step 2: Convert to fraction form
    16,017.75/24,634.13 = 24,634.13/x
  3. Step 3: Cross multiply
    16,017.75x = 24,634.13 × 24,634.13
  4. Step 4: Simplify right side
    16,017.75x = 606,840,114.52
  5. Step 5: Solve for x
    x = 606,840,114.52/16,017.75
  6. Step 6: Final answer
    x = 37,885.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.