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Finding the Third Proportional to 7,065 and 15,069

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Solution

The third proportional to 7,065 and 15,069 is: 32,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065 : 15,069 = 15,069 : x
  2. Step 2: Convert to fraction form
    7,065/15,069 = 15,069/x
  3. Step 3: Cross multiply
    7,065x = 15,069 × 15,069
  4. Step 4: Simplify right side
    7,065x = 227,074,761
  5. Step 5: Solve for x
    x = 227,074,761/7,065
  6. Step 6: Final answer
    x = 32,140.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.