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Finding the Third Proportional to 33,053.06 and 59,545.13

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Solution

The third proportional to 33,053.06 and 59,545.13 is: 107,270.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,053.06 : 59,545.13 = 59,545.13 : x
  2. Step 2: Convert to fraction form
    33,053.06/59,545.13 = 59,545.13/x
  3. Step 3: Cross multiply
    33,053.06x = 59,545.13 × 59,545.13
  4. Step 4: Simplify right side
    33,053.06x = 3,545,621,911.27
  5. Step 5: Solve for x
    x = 3,545,621,911.27/33,053.06
  6. Step 6: Final answer
    x = 107,270.60

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.