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Finding the Third Proportional to 4,712.50 and 7,069

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Solution

The third proportional to 4,712.50 and 7,069 is: 10,603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.50 : 7,069 = 7,069 : x
  2. Step 2: Convert to fraction form
    4,712.50/7,069 = 7,069/x
  3. Step 3: Cross multiply
    4,712.50x = 7,069 × 7,069
  4. Step 4: Simplify right side
    4,712.50x = 49,970,761
  5. Step 5: Solve for x
    x = 49,970,761/4,712.50
  6. Step 6: Final answer
    x = 10,603.88

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Why These Related Problems?

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