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Finding the Third Proportional to 13,427 and 28,797

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Solution

The third proportional to 13,427 and 28,797 is: 61,761.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427 : 28,797 = 28,797 : x
  2. Step 2: Convert to fraction form
    13,427/28,797 = 28,797/x
  3. Step 3: Cross multiply
    13,427x = 28,797 × 28,797
  4. Step 4: Simplify right side
    13,427x = 829,267,209
  5. Step 5: Solve for x
    x = 829,267,209/13,427
  6. Step 6: Final answer
    x = 61,761.17

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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.