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Finding the Third Proportional to 31,976 and 48,410

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Solution

The third proportional to 31,976 and 48,410 is: 73,290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,976 : 48,410 = 48,410 : x
  2. Step 2: Convert to fraction form
    31,976/48,410 = 48,410/x
  3. Step 3: Cross multiply
    31,976x = 48,410 × 48,410
  4. Step 4: Simplify right side
    31,976x = 2,343,528,100
  5. Step 5: Solve for x
    x = 2,343,528,100/31,976
  6. Step 6: Final answer
    x = 73,290.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.