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Finding the Third Proportional to 10,710.69 and 17,103.88

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Solution

The third proportional to 10,710.69 and 17,103.88 is: 27,313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.69 : 17,103.88 = 17,103.88 : x
  2. Step 2: Convert to fraction form
    10,710.69/17,103.88 = 17,103.88/x
  3. Step 3: Cross multiply
    10,710.69x = 17,103.88 × 17,103.88
  4. Step 4: Simplify right side
    10,710.69x = 292,542,540.02
  5. Step 5: Solve for x
    x = 292,542,540.02/10,710.69
  6. Step 6: Final answer
    x = 27,313.14

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.