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Finding the Third Proportional to 2,261 and 2,421

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Solution

The third proportional to 2,261 and 2,421 is: 2,592.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261 : 2,421 = 2,421 : x
  2. Step 2: Convert to fraction form
    2,261/2,421 = 2,421/x
  3. Step 3: Cross multiply
    2,261x = 2,421 × 2,421
  4. Step 4: Simplify right side
    2,261x = 5,861,241
  5. Step 5: Solve for x
    x = 5,861,241/2,261
  6. Step 6: Final answer
    x = 2,592.32

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.