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Finding the Third Proportional to 25,471 and 55,321

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Solution

The third proportional to 25,471 and 55,321 is: 120,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,471 : 55,321 = 55,321 : x
  2. Step 2: Convert to fraction form
    25,471/55,321 = 55,321/x
  3. Step 3: Cross multiply
    25,471x = 55,321 × 55,321
  4. Step 4: Simplify right side
    25,471x = 3,060,413,041
  5. Step 5: Solve for x
    x = 3,060,413,041/25,471
  6. Step 6: Final answer
    x = 120,152.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.