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Finding the Third Proportional to 8,091.60 and 17,307.56

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Solution

The third proportional to 8,091.60 and 17,307.56 is: 37,020.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.60 : 17,307.56 = 17,307.56 : x
  2. Step 2: Convert to fraction form
    8,091.60/17,307.56 = 17,307.56/x
  3. Step 3: Cross multiply
    8,091.60x = 17,307.56 × 17,307.56
  4. Step 4: Simplify right side
    8,091.60x = 299,551,719.69
  5. Step 5: Solve for x
    x = 299,551,719.69/8,091.60
  6. Step 6: Final answer
    x = 37,020.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.