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Finding the Third Proportional to 16,750 and 25,127

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Solution

The third proportional to 16,750 and 25,127 is: 37,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,750 : 25,127 = 25,127 : x
  2. Step 2: Convert to fraction form
    16,750/25,127 = 25,127/x
  3. Step 3: Cross multiply
    16,750x = 25,127 × 25,127
  4. Step 4: Simplify right side
    16,750x = 631,366,129
  5. Step 5: Solve for x
    x = 631,366,129/16,750
  6. Step 6: Final answer
    x = 37,693.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.