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Finding the Third Proportional to 55,641 and 70,500

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Solution

The third proportional to 55,641 and 70,500 is: 89,327.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,641 : 70,500 = 70,500 : x
  2. Step 2: Convert to fraction form
    55,641/70,500 = 70,500/x
  3. Step 3: Cross multiply
    55,641x = 70,500 × 70,500
  4. Step 4: Simplify right side
    55,641x = 4,970,250,000
  5. Step 5: Solve for x
    x = 4,970,250,000/55,641
  6. Step 6: Final answer
    x = 89,327.11

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.