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Finding the Third Proportional to 45,035 and 67,577

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Solution

The third proportional to 45,035 and 67,577 is: 101,402.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,035 : 67,577 = 67,577 : x
  2. Step 2: Convert to fraction form
    45,035/67,577 = 67,577/x
  3. Step 3: Cross multiply
    45,035x = 67,577 × 67,577
  4. Step 4: Simplify right side
    45,035x = 4,566,650,929
  5. Step 5: Solve for x
    x = 4,566,650,929/45,035
  6. Step 6: Final answer
    x = 101,402.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.