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Finding the Third Proportional to 44,328.94 and 66,538.97

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Solution

The third proportional to 44,328.94 and 66,538.97 is: 99,876.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,328.94 : 66,538.97 = 66,538.97 : x
  2. Step 2: Convert to fraction form
    44,328.94/66,538.97 = 66,538.97/x
  3. Step 3: Cross multiply
    44,328.94x = 66,538.97 × 66,538.97
  4. Step 4: Simplify right side
    44,328.94x = 4,427,434,362.31
  5. Step 5: Solve for x
    x = 4,427,434,362.31/44,328.94
  6. Step 6: Final answer
    x = 99,876.84

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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.