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Finding the Third Proportional to 19,344 and 25,928

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Solution

The third proportional to 19,344 and 25,928 is: 34,752.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,344 : 25,928 = 25,928 : x
  2. Step 2: Convert to fraction form
    19,344/25,928 = 25,928/x
  3. Step 3: Cross multiply
    19,344x = 25,928 × 25,928
  4. Step 4: Simplify right side
    19,344x = 672,261,184
  5. Step 5: Solve for x
    x = 672,261,184/19,344
  6. Step 6: Final answer
    x = 34,752.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.