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Finding the Third Proportional to 15,768 and 22,400

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Solution

The third proportional to 15,768 and 22,400 is: 31,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,768 : 22,400 = 22,400 : x
  2. Step 2: Convert to fraction form
    15,768/22,400 = 22,400/x
  3. Step 3: Cross multiply
    15,768x = 22,400 × 22,400
  4. Step 4: Simplify right side
    15,768x = 501,760,000
  5. Step 5: Solve for x
    x = 501,760,000/15,768
  6. Step 6: Final answer
    x = 31,821.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.