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Finding the Third Proportional to 5,667.47 and 9,097.31

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Solution

The third proportional to 5,667.47 and 9,097.31 is: 14,602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.47 : 9,097.31 = 9,097.31 : x
  2. Step 2: Convert to fraction form
    5,667.47/9,097.31 = 9,097.31/x
  3. Step 3: Cross multiply
    5,667.47x = 9,097.31 × 9,097.31
  4. Step 4: Simplify right side
    5,667.47x = 82,761,094.72
  5. Step 5: Solve for x
    x = 82,761,094.72/5,667.47
  6. Step 6: Final answer
    x = 14,602.83

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.