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Finding the Third Proportional to 5,710.50 and 9,119.14

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Solution

The third proportional to 5,710.50 and 9,119.14 is: 14,562.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.50 : 9,119.14 = 9,119.14 : x
  2. Step 2: Convert to fraction form
    5,710.50/9,119.14 = 9,119.14/x
  3. Step 3: Cross multiply
    5,710.50x = 9,119.14 × 9,119.14
  4. Step 4: Simplify right side
    5,710.50x = 83,158,796.98
  5. Step 5: Solve for x
    x = 83,158,796.98/5,710.50
  6. Step 6: Final answer
    x = 14,562.44

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.