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Finding the Third Proportional to 12,582 and 26,775

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Solution

The third proportional to 12,582 and 26,775 is: 56,978.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582 : 26,775 = 26,775 : x
  2. Step 2: Convert to fraction form
    12,582/26,775 = 26,775/x
  3. Step 3: Cross multiply
    12,582x = 26,775 × 26,775
  4. Step 4: Simplify right side
    12,582x = 716,900,625
  5. Step 5: Solve for x
    x = 716,900,625/12,582
  6. Step 6: Final answer
    x = 56,978.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.