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Finding the Third Proportional to 22,768 and 34,878

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Solution

The third proportional to 22,768 and 34,878 is: 53,429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,768 : 34,878 = 34,878 : x
  2. Step 2: Convert to fraction form
    22,768/34,878 = 34,878/x
  3. Step 3: Cross multiply
    22,768x = 34,878 × 34,878
  4. Step 4: Simplify right side
    22,768x = 1,216,474,884
  5. Step 5: Solve for x
    x = 1,216,474,884/22,768
  6. Step 6: Final answer
    x = 53,429.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.