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Finding the Third Proportional to 23,792 and 25,952

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Solution

The third proportional to 23,792 and 25,952 is: 28,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,792 : 25,952 = 25,952 : x
  2. Step 2: Convert to fraction form
    23,792/25,952 = 25,952/x
  3. Step 3: Cross multiply
    23,792x = 25,952 × 25,952
  4. Step 4: Simplify right side
    23,792x = 673,506,304
  5. Step 5: Solve for x
    x = 673,506,304/23,792
  6. Step 6: Final answer
    x = 28,308.10

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.