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Finding the Third Proportional to 47,498.37 and 87,988.84

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Solution

The third proportional to 47,498.37 and 87,988.84 is: 162,995.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,498.37 : 87,988.84 = 87,988.84 : x
  2. Step 2: Convert to fraction form
    47,498.37/87,988.84 = 87,988.84/x
  3. Step 3: Cross multiply
    47,498.37x = 87,988.84 × 87,988.84
  4. Step 4: Simplify right side
    47,498.37x = 7,742,036,065.94
  5. Step 5: Solve for x
    x = 7,742,036,065.94/47,498.37
  6. Step 6: Final answer
    x = 162,995.82

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.