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Finding the Third Proportional to 24,254.44 and 36,414.56

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Solution

The third proportional to 24,254.44 and 36,414.56 is: 54,671.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,254.44 : 36,414.56 = 36,414.56 : x
  2. Step 2: Convert to fraction form
    24,254.44/36,414.56 = 36,414.56/x
  3. Step 3: Cross multiply
    24,254.44x = 36,414.56 × 36,414.56
  4. Step 4: Simplify right side
    24,254.44x = 1,326,020,362.07
  5. Step 5: Solve for x
    x = 1,326,020,362.07/24,254.44
  6. Step 6: Final answer
    x = 54,671.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.