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Finding the Third Proportional to 25,292.25 and 27,722.25

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Solution

The third proportional to 25,292.25 and 27,722.25 is: 30,385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,292.25 : 27,722.25 = 27,722.25 : x
  2. Step 2: Convert to fraction form
    25,292.25/27,722.25 = 27,722.25/x
  3. Step 3: Cross multiply
    25,292.25x = 27,722.25 × 27,722.25
  4. Step 4: Simplify right side
    25,292.25x = 768,523,145.06
  5. Step 5: Solve for x
    x = 768,523,145.06/25,292.25
  6. Step 6: Final answer
    x = 30,385.72

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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.