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Finding the Third Proportional to 50,905.13 and 66,943.13

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Solution

The third proportional to 50,905.13 and 66,943.13 is: 88,034.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,905.13 : 66,943.13 = 66,943.13 : x
  2. Step 2: Convert to fraction form
    50,905.13/66,943.13 = 66,943.13/x
  3. Step 3: Cross multiply
    50,905.13x = 66,943.13 × 66,943.13
  4. Step 4: Simplify right side
    50,905.13x = 4,481,381,984.77
  5. Step 5: Solve for x
    x = 4,481,381,984.77/50,905.13
  6. Step 6: Final answer
    x = 88,034.00

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.