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Finding the Third Proportional to 15,617.81 and 23,416.59

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Solution

The third proportional to 15,617.81 and 23,416.59 is: 35,109.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,617.81 : 23,416.59 = 23,416.59 : x
  2. Step 2: Convert to fraction form
    15,617.81/23,416.59 = 23,416.59/x
  3. Step 3: Cross multiply
    15,617.81x = 23,416.59 × 23,416.59
  4. Step 4: Simplify right side
    15,617.81x = 548,336,862.85
  5. Step 5: Solve for x
    x = 548,336,862.85/15,617.81
  6. Step 6: Final answer
    x = 35,109.71

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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.