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Finding the Third Proportional to 2,810.64 and 3,122.46

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Solution

The third proportional to 2,810.64 and 3,122.46 is: 3,468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.64 : 3,122.46 = 3,122.46 : x
  2. Step 2: Convert to fraction form
    2,810.64/3,122.46 = 3,122.46/x
  3. Step 3: Cross multiply
    2,810.64x = 3,122.46 × 3,122.46
  4. Step 4: Simplify right side
    2,810.64x = 9,749,725.71
  5. Step 5: Solve for x
    x = 9,749,725.71/2,810.64
  6. Step 6: Final answer
    x = 3,468.87

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.