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Finding the Third Proportional to 10,365 and 26,579

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Solution

The third proportional to 10,365 and 26,579 is: 68,156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365 : 26,579 = 26,579 : x
  2. Step 2: Convert to fraction form
    10,365/26,579 = 26,579/x
  3. Step 3: Cross multiply
    10,365x = 26,579 × 26,579
  4. Step 4: Simplify right side
    10,365x = 706,443,241
  5. Step 5: Solve for x
    x = 706,443,241/10,365
  6. Step 6: Final answer
    x = 68,156.61

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.