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Finding the Third Proportional to 3,247.59 and 6,987.94

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Solution

The third proportional to 3,247.59 and 6,987.94 is: 15,036.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.59 : 6,987.94 = 6,987.94 : x
  2. Step 2: Convert to fraction form
    3,247.59/6,987.94 = 6,987.94/x
  3. Step 3: Cross multiply
    3,247.59x = 6,987.94 × 6,987.94
  4. Step 4: Simplify right side
    3,247.59x = 48,831,270.50
  5. Step 5: Solve for x
    x = 48,831,270.50/3,247.59
  6. Step 6: Final answer
    x = 15,036.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.