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Finding the Third Proportional to 9,032 and 13,708

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Solution

The third proportional to 9,032 and 13,708 is: 20,804.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032 : 13,708 = 13,708 : x
  2. Step 2: Convert to fraction form
    9,032/13,708 = 13,708/x
  3. Step 3: Cross multiply
    9,032x = 13,708 × 13,708
  4. Step 4: Simplify right side
    9,032x = 187,909,264
  5. Step 5: Solve for x
    x = 187,909,264/9,032
  6. Step 6: Final answer
    x = 20,804.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.