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Finding the Third Proportional to 2,531 and 4,570

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Solution

The third proportional to 2,531 and 4,570 is: 8,251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531 : 4,570 = 4,570 : x
  2. Step 2: Convert to fraction form
    2,531/4,570 = 4,570/x
  3. Step 3: Cross multiply
    2,531x = 4,570 × 4,570
  4. Step 4: Simplify right side
    2,531x = 20,884,900
  5. Step 5: Solve for x
    x = 20,884,900/2,531
  6. Step 6: Final answer
    x = 8,251.64

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.