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Finding the Third Proportional to 48,707 and 73,587

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Solution

The third proportional to 48,707 and 73,587 is: 111,175.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,707 : 73,587 = 73,587 : x
  2. Step 2: Convert to fraction form
    48,707/73,587 = 73,587/x
  3. Step 3: Cross multiply
    48,707x = 73,587 × 73,587
  4. Step 4: Simplify right side
    48,707x = 5,415,046,569
  5. Step 5: Solve for x
    x = 5,415,046,569/48,707
  6. Step 6: Final answer
    x = 111,175.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.