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Finding the Third Proportional to 52,506.75 and 82,587

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Solution

The third proportional to 52,506.75 and 82,587 is: 129,899.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,506.75 : 82,587 = 82,587 : x
  2. Step 2: Convert to fraction form
    52,506.75/82,587 = 82,587/x
  3. Step 3: Cross multiply
    52,506.75x = 82,587 × 82,587
  4. Step 4: Simplify right side
    52,506.75x = 6,820,612,569
  5. Step 5: Solve for x
    x = 6,820,612,569/52,506.75
  6. Step 6: Final answer
    x = 129,899.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.