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Finding the Third Proportional to 32,305.50 and 35,545.50

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Solution

The third proportional to 32,305.50 and 35,545.50 is: 39,110.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,305.50 : 35,545.50 = 35,545.50 : x
  2. Step 2: Convert to fraction form
    32,305.50/35,545.50 = 35,545.50/x
  3. Step 3: Cross multiply
    32,305.50x = 35,545.50 × 35,545.50
  4. Step 4: Simplify right side
    32,305.50x = 1,263,482,570.25
  5. Step 5: Solve for x
    x = 1,263,482,570.25/32,305.50
  6. Step 6: Final answer
    x = 39,110.45

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.