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Finding the Third Proportional to 22,700 and 48,424

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Solution

The third proportional to 22,700 and 48,424 is: 103,298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,700 : 48,424 = 48,424 : x
  2. Step 2: Convert to fraction form
    22,700/48,424 = 48,424/x
  3. Step 3: Cross multiply
    22,700x = 48,424 × 48,424
  4. Step 4: Simplify right side
    22,700x = 2,344,883,776
  5. Step 5: Solve for x
    x = 2,344,883,776/22,700
  6. Step 6: Final answer
    x = 103,298.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.