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Finding the Third Proportional to 31,362.19 and 67,933.69

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Solution

The third proportional to 31,362.19 and 67,933.69 is: 147,151.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,362.19 : 67,933.69 = 67,933.69 : x
  2. Step 2: Convert to fraction form
    31,362.19/67,933.69 = 67,933.69/x
  3. Step 3: Cross multiply
    31,362.19x = 67,933.69 × 67,933.69
  4. Step 4: Simplify right side
    31,362.19x = 4,614,985,897.35
  5. Step 5: Solve for x
    x = 4,614,985,897.35/31,362.19
  6. Step 6: Final answer
    x = 147,151.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.