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Finding the Third Proportional to 42,944.25 and 61,853.25

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Solution

The third proportional to 42,944.25 and 61,853.25 is: 89,088.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,944.25 : 61,853.25 = 61,853.25 : x
  2. Step 2: Convert to fraction form
    42,944.25/61,853.25 = 61,853.25/x
  3. Step 3: Cross multiply
    42,944.25x = 61,853.25 × 61,853.25
  4. Step 4: Simplify right side
    42,944.25x = 3,825,824,535.56
  5. Step 5: Solve for x
    x = 3,825,824,535.56/42,944.25
  6. Step 6: Final answer
    x = 89,088.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.