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Finding the Third Proportional to 47,976.75 and 75,913.88

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Solution

The third proportional to 47,976.75 and 75,913.88 is: 120,118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,976.75 : 75,913.88 = 75,913.88 : x
  2. Step 2: Convert to fraction form
    47,976.75/75,913.88 = 75,913.88/x
  3. Step 3: Cross multiply
    47,976.75x = 75,913.88 × 75,913.88
  4. Step 4: Simplify right side
    47,976.75x = 5,762,916,417.52
  5. Step 5: Solve for x
    x = 5,762,916,417.52/47,976.75
  6. Step 6: Final answer
    x = 120,118.94

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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.