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Finding the Third Proportional to 52,610 and 70,882

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Solution

The third proportional to 52,610 and 70,882 is: 95,500.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,610 : 70,882 = 70,882 : x
  2. Step 2: Convert to fraction form
    52,610/70,882 = 70,882/x
  3. Step 3: Cross multiply
    52,610x = 70,882 × 70,882
  4. Step 4: Simplify right side
    52,610x = 5,024,257,924
  5. Step 5: Solve for x
    x = 5,024,257,924/52,610
  6. Step 6: Final answer
    x = 95,500.06

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.