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Finding the Third Proportional to 19,254.38 and 41,382.56

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Solution

The third proportional to 19,254.38 and 41,382.56 is: 88,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,254.38 : 41,382.56 = 41,382.56 : x
  2. Step 2: Convert to fraction form
    19,254.38/41,382.56 = 41,382.56/x
  3. Step 3: Cross multiply
    19,254.38x = 41,382.56 × 41,382.56
  4. Step 4: Simplify right side
    19,254.38x = 1,712,516,479.07
  5. Step 5: Solve for x
    x = 1,712,516,479.07/19,254.38
  6. Step 6: Final answer
    x = 88,941.68

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Why These Related Problems?

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