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Finding the Third Proportional to 28,746 and 61,692

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Solution

The third proportional to 28,746 and 61,692 is: 132,397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,746 : 61,692 = 61,692 : x
  2. Step 2: Convert to fraction form
    28,746/61,692 = 61,692/x
  3. Step 3: Cross multiply
    28,746x = 61,692 × 61,692
  4. Step 4: Simplify right side
    28,746x = 3,805,902,864
  5. Step 5: Solve for x
    x = 3,805,902,864/28,746
  6. Step 6: Final answer
    x = 132,397.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.