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Finding the Third Proportional to 14,822 and 22,944

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Solution

The third proportional to 14,822 and 22,944 is: 35,516.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822 : 22,944 = 22,944 : x
  2. Step 2: Convert to fraction form
    14,822/22,944 = 22,944/x
  3. Step 3: Cross multiply
    14,822x = 22,944 × 22,944
  4. Step 4: Simplify right side
    14,822x = 526,427,136
  5. Step 5: Solve for x
    x = 526,427,136/14,822
  6. Step 6: Final answer
    x = 35,516.61

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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.