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Finding the Third Proportional to 2,560.04 and 4,070.57

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Solution

The third proportional to 2,560.04 and 4,070.57 is: 6,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.04 : 4,070.57 = 4,070.57 : x
  2. Step 2: Convert to fraction form
    2,560.04/4,070.57 = 4,070.57/x
  3. Step 3: Cross multiply
    2,560.04x = 4,070.57 × 4,070.57
  4. Step 4: Simplify right side
    2,560.04x = 16,569,510.87
  5. Step 5: Solve for x
    x = 16,569,510.87/2,560.04
  6. Step 6: Final answer
    x = 6,472.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.