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Finding the Third Proportional to 12,582 and 13,797

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Solution

The third proportional to 12,582 and 13,797 is: 15,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582 : 13,797 = 13,797 : x
  2. Step 2: Convert to fraction form
    12,582/13,797 = 13,797/x
  3. Step 3: Cross multiply
    12,582x = 13,797 × 13,797
  4. Step 4: Simplify right side
    12,582x = 190,357,209
  5. Step 5: Solve for x
    x = 190,357,209/12,582
  6. Step 6: Final answer
    x = 15,129.33

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.