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Finding the Third Proportional to 11,417.68 and 17,126.52

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Solution

The third proportional to 11,417.68 and 17,126.52 is: 25,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.68 : 17,126.52 = 17,126.52 : x
  2. Step 2: Convert to fraction form
    11,417.68/17,126.52 = 17,126.52/x
  3. Step 3: Cross multiply
    11,417.68x = 17,126.52 × 17,126.52
  4. Step 4: Simplify right side
    11,417.68x = 293,317,570.90
  5. Step 5: Solve for x
    x = 293,317,570.90/11,417.68
  6. Step 6: Final answer
    x = 25,689.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.