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Finding the Third Proportional to 32,682 and 71,587

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Solution

The third proportional to 32,682 and 71,587 is: 156,804.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,682 : 71,587 = 71,587 : x
  2. Step 2: Convert to fraction form
    32,682/71,587 = 71,587/x
  3. Step 3: Cross multiply
    32,682x = 71,587 × 71,587
  4. Step 4: Simplify right side
    32,682x = 5,124,698,569
  5. Step 5: Solve for x
    x = 5,124,698,569/32,682
  6. Step 6: Final answer
    x = 156,804.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.