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Finding the Third Proportional to 22,586 and 48,664

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Solution

The third proportional to 22,586 and 48,664 is: 104,851.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,586 : 48,664 = 48,664 : x
  2. Step 2: Convert to fraction form
    22,586/48,664 = 48,664/x
  3. Step 3: Cross multiply
    22,586x = 48,664 × 48,664
  4. Step 4: Simplify right side
    22,586x = 2,368,184,896
  5. Step 5: Solve for x
    x = 2,368,184,896/22,586
  6. Step 6: Final answer
    x = 104,851.89

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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.