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Finding the Third Proportional to 34,001.44 and 73,603.69

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Solution

The third proportional to 34,001.44 and 73,603.69 is: 159,331.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,001.44 : 73,603.69 = 73,603.69 : x
  2. Step 2: Convert to fraction form
    34,001.44/73,603.69 = 73,603.69/x
  3. Step 3: Cross multiply
    34,001.44x = 73,603.69 × 73,603.69
  4. Step 4: Simplify right side
    34,001.44x = 5,417,502,813.60
  5. Step 5: Solve for x
    x = 5,417,502,813.60/34,001.44
  6. Step 6: Final answer
    x = 159,331.58

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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.