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Finding the Third Proportional to 42,642.50 and 66,890.25

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Solution

The third proportional to 42,642.50 and 66,890.25 is: 104,925.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,642.50 : 66,890.25 = 66,890.25 : x
  2. Step 2: Convert to fraction form
    42,642.50/66,890.25 = 66,890.25/x
  3. Step 3: Cross multiply
    42,642.50x = 66,890.25 × 66,890.25
  4. Step 4: Simplify right side
    42,642.50x = 4,474,305,545.06
  5. Step 5: Solve for x
    x = 4,474,305,545.06/42,642.50
  6. Step 6: Final answer
    x = 104,925.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.