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Finding the Third Proportional to 2,797.88 and 6,142.50

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Solution

The third proportional to 2,797.88 and 6,142.50 is: 13,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.88 : 6,142.50 = 6,142.50 : x
  2. Step 2: Convert to fraction form
    2,797.88/6,142.50 = 6,142.50/x
  3. Step 3: Cross multiply
    2,797.88x = 6,142.50 × 6,142.50
  4. Step 4: Simplify right side
    2,797.88x = 37,730,306.25
  5. Step 5: Solve for x
    x = 37,730,306.25/2,797.88
  6. Step 6: Final answer
    x = 13,485.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.