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Finding the Third Proportional to 16,125.75 and 25,498.13

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Solution

The third proportional to 16,125.75 and 25,498.13 is: 40,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,125.75 : 25,498.13 = 25,498.13 : x
  2. Step 2: Convert to fraction form
    16,125.75/25,498.13 = 25,498.13/x
  3. Step 3: Cross multiply
    16,125.75x = 25,498.13 × 25,498.13
  4. Step 4: Simplify right side
    16,125.75x = 650,154,378.52
  5. Step 5: Solve for x
    x = 650,154,378.52/16,125.75
  6. Step 6: Final answer
    x = 40,317.78

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.