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Finding the Third Proportional to 5,872 and 14,213

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Solution

The third proportional to 5,872 and 14,213 is: 34,402.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872 : 14,213 = 14,213 : x
  2. Step 2: Convert to fraction form
    5,872/14,213 = 14,213/x
  3. Step 3: Cross multiply
    5,872x = 14,213 × 14,213
  4. Step 4: Simplify right side
    5,872x = 202,009,369
  5. Step 5: Solve for x
    x = 202,009,369/5,872
  6. Step 6: Final answer
    x = 34,402.14

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.