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Finding the Third Proportional to 42,290.44 and 61,436.81

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Solution

The third proportional to 42,290.44 and 61,436.81 is: 89,251.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,290.44 : 61,436.81 = 61,436.81 : x
  2. Step 2: Convert to fraction form
    42,290.44/61,436.81 = 61,436.81/x
  3. Step 3: Cross multiply
    42,290.44x = 61,436.81 × 61,436.81
  4. Step 4: Simplify right side
    42,290.44x = 3,774,481,930.16
  5. Step 5: Solve for x
    x = 3,774,481,930.16/42,290.44
  6. Step 6: Final answer
    x = 89,251.43

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.