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Finding the Third Proportional to 34,656.19 and 74,845.69

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Solution

The third proportional to 34,656.19 and 74,845.69 is: 161,641.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,656.19 : 74,845.69 = 74,845.69 : x
  2. Step 2: Convert to fraction form
    34,656.19/74,845.69 = 74,845.69/x
  3. Step 3: Cross multiply
    34,656.19x = 74,845.69 × 74,845.69
  4. Step 4: Simplify right side
    34,656.19x = 5,601,876,937.35
  5. Step 5: Solve for x
    x = 5,601,876,937.35/34,656.19
  6. Step 6: Final answer
    x = 161,641.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.