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Finding the Third Proportional to 10,972.13 and 17,460.56

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Solution

The third proportional to 10,972.13 and 17,460.56 is: 27,785.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972.13 : 17,460.56 = 17,460.56 : x
  2. Step 2: Convert to fraction form
    10,972.13/17,460.56 = 17,460.56/x
  3. Step 3: Cross multiply
    10,972.13x = 17,460.56 × 17,460.56
  4. Step 4: Simplify right side
    10,972.13x = 304,871,242.82
  5. Step 5: Solve for x
    x = 304,871,242.82/10,972.13
  6. Step 6: Final answer
    x = 27,785.98

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.