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Finding the Third Proportional to 31,931 and 69,902

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Solution

The third proportional to 31,931 and 69,902 is: 153,026.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,931 : 69,902 = 69,902 : x
  2. Step 2: Convert to fraction form
    31,931/69,902 = 69,902/x
  3. Step 3: Cross multiply
    31,931x = 69,902 × 69,902
  4. Step 4: Simplify right side
    31,931x = 4,886,289,604
  5. Step 5: Solve for x
    x = 4,886,289,604/31,931
  6. Step 6: Final answer
    x = 153,026.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.