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Finding the Third Proportional to 2,584 and 3,953

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Solution

The third proportional to 2,584 and 3,953 is: 6,047.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584 : 3,953 = 3,953 : x
  2. Step 2: Convert to fraction form
    2,584/3,953 = 3,953/x
  3. Step 3: Cross multiply
    2,584x = 3,953 × 3,953
  4. Step 4: Simplify right side
    2,584x = 15,626,209
  5. Step 5: Solve for x
    x = 15,626,209/2,584
  6. Step 6: Final answer
    x = 6,047.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.