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Finding the Third Proportional to 25,920 and 28,620

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Solution

The third proportional to 25,920 and 28,620 is: 31,601.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,920 : 28,620 = 28,620 : x
  2. Step 2: Convert to fraction form
    25,920/28,620 = 28,620/x
  3. Step 3: Cross multiply
    25,920x = 28,620 × 28,620
  4. Step 4: Simplify right side
    25,920x = 819,104,400
  5. Step 5: Solve for x
    x = 819,104,400/25,920
  6. Step 6: Final answer
    x = 31,601.25

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.