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Finding the Third Proportional to 22,784 and 48,043

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Solution

The third proportional to 22,784 and 48,043 is: 101,304.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784 : 48,043 = 48,043 : x
  2. Step 2: Convert to fraction form
    22,784/48,043 = 48,043/x
  3. Step 3: Cross multiply
    22,784x = 48,043 × 48,043
  4. Step 4: Simplify right side
    22,784x = 2,308,129,849
  5. Step 5: Solve for x
    x = 2,308,129,849/22,784
  6. Step 6: Final answer
    x = 101,304.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.