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Finding the Third Proportional to 31,528 and 72,976

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Solution

The third proportional to 31,528 and 72,976 is: 168,913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,528 : 72,976 = 72,976 : x
  2. Step 2: Convert to fraction form
    31,528/72,976 = 72,976/x
  3. Step 3: Cross multiply
    31,528x = 72,976 × 72,976
  4. Step 4: Simplify right side
    31,528x = 5,325,496,576
  5. Step 5: Solve for x
    x = 5,325,496,576/31,528
  6. Step 6: Final answer
    x = 168,913.24

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.