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Finding the Third Proportional to 48,856.50 and 77,425.88

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Solution

The third proportional to 48,856.50 and 77,425.88 is: 122,701.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,856.50 : 77,425.88 = 77,425.88 : x
  2. Step 2: Convert to fraction form
    48,856.50/77,425.88 = 77,425.88/x
  3. Step 3: Cross multiply
    48,856.50x = 77,425.88 × 77,425.88
  4. Step 4: Simplify right side
    48,856.50x = 5,994,766,119.52
  5. Step 5: Solve for x
    x = 5,994,766,119.52/48,856.50
  6. Step 6: Final answer
    x = 122,701.51

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.