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Finding the Third Proportional to 10,856.53 and 17,204.91

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Solution

The third proportional to 10,856.53 and 17,204.91 is: 27,265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.53 : 17,204.91 = 17,204.91 : x
  2. Step 2: Convert to fraction form
    10,856.53/17,204.91 = 17,204.91/x
  3. Step 3: Cross multiply
    10,856.53x = 17,204.91 × 17,204.91
  4. Step 4: Simplify right side
    10,856.53x = 296,008,799.07
  5. Step 5: Solve for x
    x = 296,008,799.07/10,856.53
  6. Step 6: Final answer
    x = 27,265.50

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.