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Finding the Third Proportional to 44,024.25 and 66,878.25

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Solution

The third proportional to 44,024.25 and 66,878.25 is: 101,596.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,024.25 : 66,878.25 = 66,878.25 : x
  2. Step 2: Convert to fraction form
    44,024.25/66,878.25 = 66,878.25/x
  3. Step 3: Cross multiply
    44,024.25x = 66,878.25 × 66,878.25
  4. Step 4: Simplify right side
    44,024.25x = 4,472,700,323.06
  5. Step 5: Solve for x
    x = 4,472,700,323.06/44,024.25
  6. Step 6: Final answer
    x = 101,596.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.