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Finding the Third Proportional to 12,328 and 25,952

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Solution

The third proportional to 12,328 and 25,952 is: 54,632.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,328 : 25,952 = 25,952 : x
  2. Step 2: Convert to fraction form
    12,328/25,952 = 25,952/x
  3. Step 3: Cross multiply
    12,328x = 25,952 × 25,952
  4. Step 4: Simplify right side
    12,328x = 673,506,304
  5. Step 5: Solve for x
    x = 673,506,304/12,328
  6. Step 6: Final answer
    x = 54,632.24

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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.