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Finding the Third Proportional to 25,166.25 and 51,423.75

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Solution

The third proportional to 25,166.25 and 51,423.75 is: 105,077.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,166.25 : 51,423.75 = 51,423.75 : x
  2. Step 2: Convert to fraction form
    25,166.25/51,423.75 = 51,423.75/x
  3. Step 3: Cross multiply
    25,166.25x = 51,423.75 × 51,423.75
  4. Step 4: Simplify right side
    25,166.25x = 2,644,402,064.06
  5. Step 5: Solve for x
    x = 2,644,402,064.06/25,166.25
  6. Step 6: Final answer
    x = 105,077.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.