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Finding the Third Proportional to 33,071.34 and 51,223.22

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Solution

The third proportional to 33,071.34 and 51,223.22 is: 79,338.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,071.34 : 51,223.22 = 51,223.22 : x
  2. Step 2: Convert to fraction form
    33,071.34/51,223.22 = 51,223.22/x
  3. Step 3: Cross multiply
    33,071.34x = 51,223.22 × 51,223.22
  4. Step 4: Simplify right side
    33,071.34x = 2,623,818,139.11
  5. Step 5: Solve for x
    x = 2,623,818,139.11/33,071.34
  6. Step 6: Final answer
    x = 79,338.12

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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.