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Finding the Third Proportional to 34,543.13 and 74,383.31

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Solution

The third proportional to 34,543.13 and 74,383.31 is: 160,173.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,543.13 : 74,383.31 = 74,383.31 : x
  2. Step 2: Convert to fraction form
    34,543.13/74,383.31 = 74,383.31/x
  3. Step 3: Cross multiply
    34,543.13x = 74,383.31 × 74,383.31
  4. Step 4: Simplify right side
    34,543.13x = 5,532,877,178.47
  5. Step 5: Solve for x
    x = 5,532,877,178.47/34,543.13
  6. Step 6: Final answer
    x = 160,173.04

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.