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Finding the Third Proportional to 17,101.13 and 23,006.53

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Solution

The third proportional to 17,101.13 and 23,006.53 is: 30,951.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,101.13 : 23,006.53 = 23,006.53 : x
  2. Step 2: Convert to fraction form
    17,101.13/23,006.53 = 23,006.53/x
  3. Step 3: Cross multiply
    17,101.13x = 23,006.53 × 23,006.53
  4. Step 4: Simplify right side
    17,101.13x = 529,300,480.16
  5. Step 5: Solve for x
    x = 529,300,480.16/17,101.13
  6. Step 6: Final answer
    x = 30,951.21

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.