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Finding the Third Proportional to 10,353 and 22,586

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Solution

The third proportional to 10,353 and 22,586 is: 49,273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353 : 22,586 = 22,586 : x
  2. Step 2: Convert to fraction form
    10,353/22,586 = 22,586/x
  3. Step 3: Cross multiply
    10,353x = 22,586 × 22,586
  4. Step 4: Simplify right side
    10,353x = 510,127,396
  5. Step 5: Solve for x
    x = 510,127,396/10,353
  6. Step 6: Final answer
    x = 49,273.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.