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Finding the Third Proportional to 31,008 and 66,978

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Solution

The third proportional to 31,008 and 66,978 is: 144,674.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,008 : 66,978 = 66,978 : x
  2. Step 2: Convert to fraction form
    31,008/66,978 = 66,978/x
  3. Step 3: Cross multiply
    31,008x = 66,978 × 66,978
  4. Step 4: Simplify right side
    31,008x = 4,486,052,484
  5. Step 5: Solve for x
    x = 4,486,052,484/31,008
  6. Step 6: Final answer
    x = 144,674.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.