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Finding the Third Proportional to 31,151 and 44,509

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Solution

The third proportional to 31,151 and 44,509 is: 63,595.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,151 : 44,509 = 44,509 : x
  2. Step 2: Convert to fraction form
    31,151/44,509 = 44,509/x
  3. Step 3: Cross multiply
    31,151x = 44,509 × 44,509
  4. Step 4: Simplify right side
    31,151x = 1,981,051,081
  5. Step 5: Solve for x
    x = 1,981,051,081/31,151
  6. Step 6: Final answer
    x = 63,595.10

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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.