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Finding the Third Proportional to 2,877.56 and 5,617.00

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Solution

The third proportional to 2,877.56 and 5,617.00 is: 10,964.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.56 : 5,617.00 = 5,617.00 : x
  2. Step 2: Convert to fraction form
    2,877.56/5,617.00 = 5,617.00/x
  3. Step 3: Cross multiply
    2,877.56x = 5,617.00 × 5,617.00
  4. Step 4: Simplify right side
    2,877.56x = 31,550,710.94
  5. Step 5: Solve for x
    x = 31,550,710.94/2,877.56
  6. Step 6: Final answer
    x = 10,964.41

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.