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Finding the Third Proportional to 10,062.50 and 22,069

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Solution

The third proportional to 10,062.50 and 22,069 is: 48,401.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.50 : 22,069 = 22,069 : x
  2. Step 2: Convert to fraction form
    10,062.50/22,069 = 22,069/x
  3. Step 3: Cross multiply
    10,062.50x = 22,069 × 22,069
  4. Step 4: Simplify right side
    10,062.50x = 487,040,761
  5. Step 5: Solve for x
    x = 487,040,761/10,062.50
  6. Step 6: Final answer
    x = 48,401.57

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.