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Finding the Third Proportional to 32,672.25 and 48,051.38

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Solution

The third proportional to 32,672.25 and 48,051.38 is: 70,669.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,672.25 : 48,051.38 = 48,051.38 : x
  2. Step 2: Convert to fraction form
    32,672.25/48,051.38 = 48,051.38/x
  3. Step 3: Cross multiply
    32,672.25x = 48,051.38 × 48,051.38
  4. Step 4: Simplify right side
    32,672.25x = 2,308,934,639.39
  5. Step 5: Solve for x
    x = 2,308,934,639.39/32,672.25
  6. Step 6: Final answer
    x = 70,669.59

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.