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Finding the Third Proportional to 16,732 and 31,070

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Solution

The third proportional to 16,732 and 31,070 is: 57,694.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,732 : 31,070 = 31,070 : x
  2. Step 2: Convert to fraction form
    16,732/31,070 = 31,070/x
  3. Step 3: Cross multiply
    16,732x = 31,070 × 31,070
  4. Step 4: Simplify right side
    16,732x = 965,344,900
  5. Step 5: Solve for x
    x = 965,344,900/16,732
  6. Step 6: Final answer
    x = 57,694.53

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.