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Finding the Third Proportional to 25,310 and 55,390

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Solution

The third proportional to 25,310 and 55,390 is: 121,218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,310 : 55,390 = 55,390 : x
  2. Step 2: Convert to fraction form
    25,310/55,390 = 55,390/x
  3. Step 3: Cross multiply
    25,310x = 55,390 × 55,390
  4. Step 4: Simplify right side
    25,310x = 3,068,052,100
  5. Step 5: Solve for x
    x = 3,068,052,100/25,310
  6. Step 6: Final answer
    x = 121,218.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.