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Finding the Third Proportional to 34,045.31 and 72,781.03

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Solution

The third proportional to 34,045.31 and 72,781.03 is: 155,589.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,045.31 : 72,781.03 = 72,781.03 : x
  2. Step 2: Convert to fraction form
    34,045.31/72,781.03 = 72,781.03/x
  3. Step 3: Cross multiply
    34,045.31x = 72,781.03 × 72,781.03
  4. Step 4: Simplify right side
    34,045.31x = 5,297,078,509.81
  5. Step 5: Solve for x
    x = 5,297,078,509.81/34,045.31
  6. Step 6: Final answer
    x = 155,589.07

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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.