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Finding the Third Proportional to 32,424.75 and 69,852.38

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Solution

The third proportional to 32,424.75 and 69,852.38 is: 150,482.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,424.75 : 69,852.38 = 69,852.38 : x
  2. Step 2: Convert to fraction form
    32,424.75/69,852.38 = 69,852.38/x
  3. Step 3: Cross multiply
    32,424.75x = 69,852.38 × 69,852.38
  4. Step 4: Simplify right side
    32,424.75x = 4,879,354,293.14
  5. Step 5: Solve for x
    x = 4,879,354,293.14/32,424.75
  6. Step 6: Final answer
    x = 150,482.40

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.