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Finding the Third Proportional to 31,304 and 45,998

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Solution

The third proportional to 31,304 and 45,998 is: 67,589.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,304 : 45,998 = 45,998 : x
  2. Step 2: Convert to fraction form
    31,304/45,998 = 45,998/x
  3. Step 3: Cross multiply
    31,304x = 45,998 × 45,998
  4. Step 4: Simplify right side
    31,304x = 2,115,816,004
  5. Step 5: Solve for x
    x = 2,115,816,004/31,304
  6. Step 6: Final answer
    x = 67,589.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.