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Finding the Third Proportional to 24,023.25 and 51,598.69

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Solution

The third proportional to 24,023.25 and 51,598.69 is: 110,826.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,023.25 : 51,598.69 = 51,598.69 : x
  2. Step 2: Convert to fraction form
    24,023.25/51,598.69 = 51,598.69/x
  3. Step 3: Cross multiply
    24,023.25x = 51,598.69 × 51,598.69
  4. Step 4: Simplify right side
    24,023.25x = 2,662,424,551.72
  5. Step 5: Solve for x
    x = 2,662,424,551.72/24,023.25
  6. Step 6: Final answer
    x = 110,826.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.