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Finding the Third Proportional to 7,065 and 10,487.25

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Solution

The third proportional to 7,065 and 10,487.25 is: 15,567.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065 : 10,487.25 = 10,487.25 : x
  2. Step 2: Convert to fraction form
    7,065/10,487.25 = 10,487.25/x
  3. Step 3: Cross multiply
    7,065x = 10,487.25 × 10,487.25
  4. Step 4: Simplify right side
    7,065x = 109,982,412.56
  5. Step 5: Solve for x
    x = 109,982,412.56/7,065
  6. Step 6: Final answer
    x = 15,567.22

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.