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Finding the Third Proportional to 31,768 and 44,440

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Solution

The third proportional to 31,768 and 44,440 is: 62,166.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,768 : 44,440 = 44,440 : x
  2. Step 2: Convert to fraction form
    31,768/44,440 = 44,440/x
  3. Step 3: Cross multiply
    31,768x = 44,440 × 44,440
  4. Step 4: Simplify right side
    31,768x = 1,974,913,600
  5. Step 5: Solve for x
    x = 1,974,913,600/31,768
  6. Step 6: Final answer
    x = 62,166.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.