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Finding the Third Proportional to 25,110 and 68,310

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Solution

The third proportional to 25,110 and 68,310 is: 185,832.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,110 : 68,310 = 68,310 : x
  2. Step 2: Convert to fraction form
    25,110/68,310 = 68,310/x
  3. Step 3: Cross multiply
    25,110x = 68,310 × 68,310
  4. Step 4: Simplify right side
    25,110x = 4,666,256,100
  5. Step 5: Solve for x
    x = 4,666,256,100/25,110
  6. Step 6: Final answer
    x = 185,832.58

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.