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Finding the Third Proportional to 22,042 and 48,457

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Solution

The third proportional to 22,042 and 48,457 is: 106,527.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,042 : 48,457 = 48,457 : x
  2. Step 2: Convert to fraction form
    22,042/48,457 = 48,457/x
  3. Step 3: Cross multiply
    22,042x = 48,457 × 48,457
  4. Step 4: Simplify right side
    22,042x = 2,348,080,849
  5. Step 5: Solve for x
    x = 2,348,080,849/22,042
  6. Step 6: Final answer
    x = 106,527.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.