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Finding the Third Proportional to 38,925 and 55,471

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Solution

The third proportional to 38,925 and 55,471 is: 79,050.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,925 : 55,471 = 55,471 : x
  2. Step 2: Convert to fraction form
    38,925/55,471 = 55,471/x
  3. Step 3: Cross multiply
    38,925x = 55,471 × 55,471
  4. Step 4: Simplify right side
    38,925x = 3,077,031,841
  5. Step 5: Solve for x
    x = 3,077,031,841/38,925
  6. Step 6: Final answer
    x = 79,050.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.