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Finding the Third Proportional to 25,788 and 28,452

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Solution

The third proportional to 25,788 and 28,452 is: 31,391.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,788 : 28,452 = 28,452 : x
  2. Step 2: Convert to fraction form
    25,788/28,452 = 28,452/x
  3. Step 3: Cross multiply
    25,788x = 28,452 × 28,452
  4. Step 4: Simplify right side
    25,788x = 809,516,304
  5. Step 5: Solve for x
    x = 809,516,304/25,788
  6. Step 6: Final answer
    x = 31,391.20

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