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Finding the Third Proportional to 33,430.50 and 51,931

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Solution

The third proportional to 33,430.50 and 51,931 is: 80,669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,430.50 : 51,931 = 51,931 : x
  2. Step 2: Convert to fraction form
    33,430.50/51,931 = 51,931/x
  3. Step 3: Cross multiply
    33,430.50x = 51,931 × 51,931
  4. Step 4: Simplify right side
    33,430.50x = 2,696,828,761
  5. Step 5: Solve for x
    x = 2,696,828,761/33,430.50
  6. Step 6: Final answer
    x = 80,669.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.