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Finding the Third Proportional to 44,758 and 62,742.50

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Solution

The third proportional to 44,758 and 62,742.50 is: 87,953.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,758 : 62,742.50 = 62,742.50 : x
  2. Step 2: Convert to fraction form
    44,758/62,742.50 = 62,742.50/x
  3. Step 3: Cross multiply
    44,758x = 62,742.50 × 62,742.50
  4. Step 4: Simplify right side
    44,758x = 3,936,621,306.25
  5. Step 5: Solve for x
    x = 3,936,621,306.25/44,758
  6. Step 6: Final answer
    x = 87,953.47

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.