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Finding the Third Proportional to 17,206.88 and 23,158.13

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Solution

The third proportional to 17,206.88 and 23,158.13 is: 31,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.88 : 23,158.13 = 23,158.13 : x
  2. Step 2: Convert to fraction form
    17,206.88/23,158.13 = 23,158.13/x
  3. Step 3: Cross multiply
    17,206.88x = 23,158.13 × 23,158.13
  4. Step 4: Simplify right side
    17,206.88x = 536,298,753.52
  5. Step 5: Solve for x
    x = 536,298,753.52/17,206.88
  6. Step 6: Final answer
    x = 31,167.70

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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.