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Finding the Third Proportional to 32,024.53 and 47,888.72

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Solution

The third proportional to 32,024.53 and 47,888.72 is: 71,611.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,024.53 : 47,888.72 = 47,888.72 : x
  2. Step 2: Convert to fraction form
    32,024.53/47,888.72 = 47,888.72/x
  3. Step 3: Cross multiply
    32,024.53x = 47,888.72 × 47,888.72
  4. Step 4: Simplify right side
    32,024.53x = 2,293,329,383.52
  5. Step 5: Solve for x
    x = 2,293,329,383.52/32,024.53
  6. Step 6: Final answer
    x = 71,611.65

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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.