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Finding the Third Proportional to 5,290 and 7,114

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Solution

The third proportional to 5,290 and 7,114 is: 9,566.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290 : 7,114 = 7,114 : x
  2. Step 2: Convert to fraction form
    5,290/7,114 = 7,114/x
  3. Step 3: Cross multiply
    5,290x = 7,114 × 7,114
  4. Step 4: Simplify right side
    5,290x = 50,608,996
  5. Step 5: Solve for x
    x = 50,608,996/5,290
  6. Step 6: Final answer
    x = 9,566.92

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.