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Finding the Third Proportional to 5,656 and 12,701

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Solution

The third proportional to 5,656 and 12,701 is: 28,521.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656 : 12,701 = 12,701 : x
  2. Step 2: Convert to fraction form
    5,656/12,701 = 12,701/x
  3. Step 3: Cross multiply
    5,656x = 12,701 × 12,701
  4. Step 4: Simplify right side
    5,656x = 161,315,401
  5. Step 5: Solve for x
    x = 161,315,401/5,656
  6. Step 6: Final answer
    x = 28,521.11

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.