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Finding the Third Proportional to 31,094.25 and 48,471

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Solution

The third proportional to 31,094.25 and 48,471 is: 75,558.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,094.25 : 48,471 = 48,471 : x
  2. Step 2: Convert to fraction form
    31,094.25/48,471 = 48,471/x
  3. Step 3: Cross multiply
    31,094.25x = 48,471 × 48,471
  4. Step 4: Simplify right side
    31,094.25x = 2,349,437,841
  5. Step 5: Solve for x
    x = 2,349,437,841/31,094.25
  6. Step 6: Final answer
    x = 75,558.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.