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Finding the Third Proportional to 4,987 and 7,399.50

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Solution

The third proportional to 4,987 and 7,399.50 is: 10,979.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,987 : 7,399.50 = 7,399.50 : x
  2. Step 2: Convert to fraction form
    4,987/7,399.50 = 7,399.50/x
  3. Step 3: Cross multiply
    4,987x = 7,399.50 × 7,399.50
  4. Step 4: Simplify right side
    4,987x = 54,752,600.25
  5. Step 5: Solve for x
    x = 54,752,600.25/4,987
  6. Step 6: Final answer
    x = 10,979.07

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.