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Finding the Third Proportional to 32,338.50 and 48,308.25

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Solution

The third proportional to 32,338.50 and 48,308.25 is: 72,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,338.50 : 48,308.25 = 48,308.25 : x
  2. Step 2: Convert to fraction form
    32,338.50/48,308.25 = 48,308.25/x
  3. Step 3: Cross multiply
    32,338.50x = 48,308.25 × 48,308.25
  4. Step 4: Simplify right side
    32,338.50x = 2,333,687,018.06
  5. Step 5: Solve for x
    x = 2,333,687,018.06/32,338.50
  6. Step 6: Final answer
    x = 72,164.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.