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Finding the Third Proportional to 34,490.81 and 73,902.38

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Solution

The third proportional to 34,490.81 and 73,902.38 is: 158,348.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,490.81 : 73,902.38 = 73,902.38 : x
  2. Step 2: Convert to fraction form
    34,490.81/73,902.38 = 73,902.38/x
  3. Step 3: Cross multiply
    34,490.81x = 73,902.38 × 73,902.38
  4. Step 4: Simplify right side
    34,490.81x = 5,461,561,030.64
  5. Step 5: Solve for x
    x = 5,461,561,030.64/34,490.81
  6. Step 6: Final answer
    x = 158,348.29

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.