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Finding the Third Proportional to 2,570 and 4,139

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Solution

The third proportional to 2,570 and 4,139 is: 6,665.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570 : 4,139 = 4,139 : x
  2. Step 2: Convert to fraction form
    2,570/4,139 = 4,139/x
  3. Step 3: Cross multiply
    2,570x = 4,139 × 4,139
  4. Step 4: Simplify right side
    2,570x = 17,131,321
  5. Step 5: Solve for x
    x = 17,131,321/2,570
  6. Step 6: Final answer
    x = 6,665.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.