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Finding the Third Proportional to 42,077.25 and 61,488

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Solution

The third proportional to 42,077.25 and 61,488 is: 89,853.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,077.25 : 61,488 = 61,488 : x
  2. Step 2: Convert to fraction form
    42,077.25/61,488 = 61,488/x
  3. Step 3: Cross multiply
    42,077.25x = 61,488 × 61,488
  4. Step 4: Simplify right side
    42,077.25x = 3,780,774,144
  5. Step 5: Solve for x
    x = 3,780,774,144/42,077.25
  6. Step 6: Final answer
    x = 89,853.17

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.