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Finding the Third Proportional to 2,116.13 and 2,959.88

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Solution

The third proportional to 2,116.13 and 2,959.88 is: 4,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.13 : 2,959.88 = 2,959.88 : x
  2. Step 2: Convert to fraction form
    2,116.13/2,959.88 = 2,959.88/x
  3. Step 3: Cross multiply
    2,116.13x = 2,959.88 × 2,959.88
  4. Step 4: Simplify right side
    2,116.13x = 8,760,860.02
  5. Step 5: Solve for x
    x = 8,760,860.02/2,116.13
  6. Step 6: Final answer
    x = 4,140.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.