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Finding the Third Proportional to 33,900.19 and 73,712.53

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Solution

The third proportional to 33,900.19 and 73,712.53 is: 160,280.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,900.19 : 73,712.53 = 73,712.53 : x
  2. Step 2: Convert to fraction form
    33,900.19/73,712.53 = 73,712.53/x
  3. Step 3: Cross multiply
    33,900.19x = 73,712.53 × 73,712.53
  4. Step 4: Simplify right side
    33,900.19x = 5,433,537,263.28
  5. Step 5: Solve for x
    x = 5,433,537,263.28/33,900.19
  6. Step 6: Final answer
    x = 160,280.45

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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.