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Finding the Third Proportional to 31,262 and 44,780

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Solution

The third proportional to 31,262 and 44,780 is: 64,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,262 : 44,780 = 44,780 : x
  2. Step 2: Convert to fraction form
    31,262/44,780 = 44,780/x
  3. Step 3: Cross multiply
    31,262x = 44,780 × 44,780
  4. Step 4: Simplify right side
    31,262x = 2,005,248,400
  5. Step 5: Solve for x
    x = 2,005,248,400/31,262
  6. Step 6: Final answer
    x = 64,143.32

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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.