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Finding the Third Proportional to 32,797.13 and 47,904.75

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Solution

The third proportional to 32,797.13 and 47,904.75 is: 69,971.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,797.13 : 47,904.75 = 47,904.75 : x
  2. Step 2: Convert to fraction form
    32,797.13/47,904.75 = 47,904.75/x
  3. Step 3: Cross multiply
    32,797.13x = 47,904.75 × 47,904.75
  4. Step 4: Simplify right side
    32,797.13x = 2,294,865,072.56
  5. Step 5: Solve for x
    x = 2,294,865,072.56/32,797.13
  6. Step 6: Final answer
    x = 69,971.53

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.