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Finding the Third Proportional to 25,910 and 68,573.75

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Solution

The third proportional to 25,910 and 68,573.75 is: 181,488.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,910 : 68,573.75 = 68,573.75 : x
  2. Step 2: Convert to fraction form
    25,910/68,573.75 = 68,573.75/x
  3. Step 3: Cross multiply
    25,910x = 68,573.75 × 68,573.75
  4. Step 4: Simplify right side
    25,910x = 4,702,359,189.06
  5. Step 5: Solve for x
    x = 4,702,359,189.06/25,910
  6. Step 6: Final answer
    x = 181,488.20

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.