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Finding the Third Proportional to 34,381.13 and 74,553.75

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Solution

The third proportional to 34,381.13 and 74,553.75 is: 161,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,381.13 : 74,553.75 = 74,553.75 : x
  2. Step 2: Convert to fraction form
    34,381.13/74,553.75 = 74,553.75/x
  3. Step 3: Cross multiply
    34,381.13x = 74,553.75 × 74,553.75
  4. Step 4: Simplify right side
    34,381.13x = 5,558,261,639.06
  5. Step 5: Solve for x
    x = 5,558,261,639.06/34,381.13
  6. Step 6: Final answer
    x = 161,666.08

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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.