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Finding the Third Proportional to 24,350.25 and 36,686.63

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Solution

The third proportional to 24,350.25 and 36,686.63 is: 55,272.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,350.25 : 36,686.63 = 36,686.63 : x
  2. Step 2: Convert to fraction form
    24,350.25/36,686.63 = 36,686.63/x
  3. Step 3: Cross multiply
    24,350.25x = 36,686.63 × 36,686.63
  4. Step 4: Simplify right side
    24,350.25x = 1,345,908,453.89
  5. Step 5: Solve for x
    x = 1,345,908,453.89/24,350.25
  6. Step 6: Final answer
    x = 55,272.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.