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Finding the Third Proportional to 25,800 and 28,488

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Solution

The third proportional to 25,800 and 28,488 is: 31,456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,800 : 28,488 = 28,488 : x
  2. Step 2: Convert to fraction form
    25,800/28,488 = 28,488/x
  3. Step 3: Cross multiply
    25,800x = 28,488 × 28,488
  4. Step 4: Simplify right side
    25,800x = 811,566,144
  5. Step 5: Solve for x
    x = 811,566,144/25,800
  6. Step 6: Final answer
    x = 31,456.05

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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.