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Finding the Third Proportional to 32,686.88 and 48,902.06

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Solution

The third proportional to 32,686.88 and 48,902.06 is: 73,161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,686.88 : 48,902.06 = 48,902.06 : x
  2. Step 2: Convert to fraction form
    32,686.88/48,902.06 = 48,902.06/x
  3. Step 3: Cross multiply
    32,686.88x = 48,902.06 × 48,902.06
  4. Step 4: Simplify right side
    32,686.88x = 2,391,411,716.75
  5. Step 5: Solve for x
    x = 2,391,411,716.75/32,686.88
  6. Step 6: Final answer
    x = 73,161.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.