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Finding the Third Proportional to 32,163.33 and 48,482.30

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Solution

The third proportional to 32,163.33 and 48,482.30 is: 73,081.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,163.33 : 48,482.30 = 48,482.30 : x
  2. Step 2: Convert to fraction form
    32,163.33/48,482.30 = 48,482.30/x
  3. Step 3: Cross multiply
    32,163.33x = 48,482.30 × 48,482.30
  4. Step 4: Simplify right side
    32,163.33x = 2,350,533,110.28
  5. Step 5: Solve for x
    x = 2,350,533,110.28/32,163.33
  6. Step 6: Final answer
    x = 73,081.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.