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Finding the Third Proportional to 2,311.66 and 4,987.83

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Solution

The third proportional to 2,311.66 and 4,987.83 is: 10,762.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.66 : 4,987.83 = 4,987.83 : x
  2. Step 2: Convert to fraction form
    2,311.66/4,987.83 = 4,987.83/x
  3. Step 3: Cross multiply
    2,311.66x = 4,987.83 × 4,987.83
  4. Step 4: Simplify right side
    2,311.66x = 24,878,429.40
  5. Step 5: Solve for x
    x = 24,878,429.40/2,311.66
  6. Step 6: Final answer
    x = 10,762.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.