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Finding the Third Proportional to 17,866.50 and 26,264.75

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Solution

The third proportional to 17,866.50 and 26,264.75 is: 38,610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,866.50 : 26,264.75 = 26,264.75 : x
  2. Step 2: Convert to fraction form
    17,866.50/26,264.75 = 26,264.75/x
  3. Step 3: Cross multiply
    17,866.50x = 26,264.75 × 26,264.75
  4. Step 4: Simplify right side
    17,866.50x = 689,837,092.56
  5. Step 5: Solve for x
    x = 689,837,092.56/17,866.50
  6. Step 6: Final answer
    x = 38,610.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.