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Finding the Third Proportional to 22,424 and 48,784

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Solution

The third proportional to 22,424 and 48,784 is: 106,130.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424 : 48,784 = 48,784 : x
  2. Step 2: Convert to fraction form
    22,424/48,784 = 48,784/x
  3. Step 3: Cross multiply
    22,424x = 48,784 × 48,784
  4. Step 4: Simplify right side
    22,424x = 2,379,878,656
  5. Step 5: Solve for x
    x = 2,379,878,656/22,424
  6. Step 6: Final answer
    x = 106,130.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.