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Finding the Third Proportional to 31,032 and 72,504

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Solution

The third proportional to 31,032 and 72,504 is: 169,400.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,032 : 72,504 = 72,504 : x
  2. Step 2: Convert to fraction form
    31,032/72,504 = 72,504/x
  3. Step 3: Cross multiply
    31,032x = 72,504 × 72,504
  4. Step 4: Simplify right side
    31,032x = 5,256,830,016
  5. Step 5: Solve for x
    x = 5,256,830,016/31,032
  6. Step 6: Final answer
    x = 169,400.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.