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Finding the Third Proportional to 31,730 and 46,108

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Solution

The third proportional to 31,730 and 46,108 is: 67,001.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,730 : 46,108 = 46,108 : x
  2. Step 2: Convert to fraction form
    31,730/46,108 = 46,108/x
  3. Step 3: Cross multiply
    31,730x = 46,108 × 46,108
  4. Step 4: Simplify right side
    31,730x = 2,125,947,664
  5. Step 5: Solve for x
    x = 2,125,947,664/31,730
  6. Step 6: Final answer
    x = 67,001.19

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.