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Finding the Third Proportional to 2,710.97 and 4,225.92

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Solution

The third proportional to 2,710.97 and 4,225.92 is: 6,587.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.97 : 4,225.92 = 4,225.92 : x
  2. Step 2: Convert to fraction form
    2,710.97/4,225.92 = 4,225.92/x
  3. Step 3: Cross multiply
    2,710.97x = 4,225.92 × 4,225.92
  4. Step 4: Simplify right side
    2,710.97x = 17,858,415.69
  5. Step 5: Solve for x
    x = 17,858,415.69/2,710.97
  6. Step 6: Final answer
    x = 6,587.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.