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Finding the Third Proportional to 2,281 and 4,871

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Solution

The third proportional to 2,281 and 4,871 is: 10,401.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281 : 4,871 = 4,871 : x
  2. Step 2: Convert to fraction form
    2,281/4,871 = 4,871/x
  3. Step 3: Cross multiply
    2,281x = 4,871 × 4,871
  4. Step 4: Simplify right side
    2,281x = 23,726,641
  5. Step 5: Solve for x
    x = 23,726,641/2,281
  6. Step 6: Final answer
    x = 10,401.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.