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Finding the Third Proportional to 31,264 and 44,680

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Solution

The third proportional to 31,264 and 44,680 is: 63,853.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,264 : 44,680 = 44,680 : x
  2. Step 2: Convert to fraction form
    31,264/44,680 = 44,680/x
  3. Step 3: Cross multiply
    31,264x = 44,680 × 44,680
  4. Step 4: Simplify right side
    31,264x = 1,996,302,400
  5. Step 5: Solve for x
    x = 1,996,302,400/31,264
  6. Step 6: Final answer
    x = 63,853.07

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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.