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Finding the Third Proportional to 25,150.13 and 37,728.19

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Solution

The third proportional to 25,150.13 and 37,728.19 is: 56,596.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,150.13 : 37,728.19 = 37,728.19 : x
  2. Step 2: Convert to fraction form
    25,150.13/37,728.19 = 37,728.19/x
  3. Step 3: Cross multiply
    25,150.13x = 37,728.19 × 37,728.19
  4. Step 4: Simplify right side
    25,150.13x = 1,423,416,132.04
  5. Step 5: Solve for x
    x = 1,423,416,132.04/25,150.13
  6. Step 6: Final answer
    x = 56,596.78

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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.