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Finding the Third Proportional to 52,580 and 70,850

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Solution

The third proportional to 52,580 and 70,850 is: 95,468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,580 : 70,850 = 70,850 : x
  2. Step 2: Convert to fraction form
    52,580/70,850 = 70,850/x
  3. Step 3: Cross multiply
    52,580x = 70,850 × 70,850
  4. Step 4: Simplify right side
    52,580x = 5,019,722,500
  5. Step 5: Solve for x
    x = 5,019,722,500/52,580
  6. Step 6: Final answer
    x = 95,468.29

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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.