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Finding the Third Proportional to 32,545.13 and 65,994.75

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Solution

The third proportional to 32,545.13 and 65,994.75 is: 133,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,545.13 : 65,994.75 = 65,994.75 : x
  2. Step 2: Convert to fraction form
    32,545.13/65,994.75 = 65,994.75/x
  3. Step 3: Cross multiply
    32,545.13x = 65,994.75 × 65,994.75
  4. Step 4: Simplify right side
    32,545.13x = 4,355,307,027.56
  5. Step 5: Solve for x
    x = 4,355,307,027.56/32,545.13
  6. Step 6: Final answer
    x = 133,823.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.