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Finding the Third Proportional to 7,171.16 and 15,534.06

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Solution

The third proportional to 7,171.16 and 15,534.06 is: 33,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.16 : 15,534.06 = 15,534.06 : x
  2. Step 2: Convert to fraction form
    7,171.16/15,534.06 = 15,534.06/x
  3. Step 3: Cross multiply
    7,171.16x = 15,534.06 × 15,534.06
  4. Step 4: Simplify right side
    7,171.16x = 241,307,097.75
  5. Step 5: Solve for x
    x = 241,307,097.75/7,171.16
  6. Step 6: Final answer
    x = 33,649.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.