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Finding the Third Proportional to 14,608 and 22,663

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Solution

The third proportional to 14,608 and 22,663 is: 35,159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,608 : 22,663 = 22,663 : x
  2. Step 2: Convert to fraction form
    14,608/22,663 = 22,663/x
  3. Step 3: Cross multiply
    14,608x = 22,663 × 22,663
  4. Step 4: Simplify right side
    14,608x = 513,611,569
  5. Step 5: Solve for x
    x = 513,611,569/14,608
  6. Step 6: Final answer
    x = 35,159.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.