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Finding the Third Proportional to 49,420.13 and 66,414.94

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Solution

The third proportional to 49,420.13 and 66,414.94 is: 89,254.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,420.13 : 66,414.94 = 66,414.94 : x
  2. Step 2: Convert to fraction form
    49,420.13/66,414.94 = 66,414.94/x
  3. Step 3: Cross multiply
    49,420.13x = 66,414.94 × 66,414.94
  4. Step 4: Simplify right side
    49,420.13x = 4,410,943,923.13
  5. Step 5: Solve for x
    x = 4,410,943,923.13/49,420.13
  6. Step 6: Final answer
    x = 89,254.00

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.