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Finding the Third Proportional to 10,586 and 22,740

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Solution

The third proportional to 10,586 and 22,740 is: 48,848.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586 : 22,740 = 22,740 : x
  2. Step 2: Convert to fraction form
    10,586/22,740 = 22,740/x
  3. Step 3: Cross multiply
    10,586x = 22,740 × 22,740
  4. Step 4: Simplify right side
    10,586x = 517,107,600
  5. Step 5: Solve for x
    x = 517,107,600/10,586
  6. Step 6: Final answer
    x = 48,848.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.