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Finding the Third Proportional to 5,416 and 12,706

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Solution

The third proportional to 5,416 and 12,706 is: 29,808.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416 : 12,706 = 12,706 : x
  2. Step 2: Convert to fraction form
    5,416/12,706 = 12,706/x
  3. Step 3: Cross multiply
    5,416x = 12,706 × 12,706
  4. Step 4: Simplify right side
    5,416x = 161,442,436
  5. Step 5: Solve for x
    x = 161,442,436/5,416
  6. Step 6: Final answer
    x = 29,808.43

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.