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Finding the Third Proportional to 32,865.47 and 53,660.39

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Solution

The third proportional to 32,865.47 and 53,660.39 is: 87,612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,865.47 : 53,660.39 = 53,660.39 : x
  2. Step 2: Convert to fraction form
    32,865.47/53,660.39 = 53,660.39/x
  3. Step 3: Cross multiply
    32,865.47x = 53,660.39 × 53,660.39
  4. Step 4: Simplify right side
    32,865.47x = 2,879,437,522.03
  5. Step 5: Solve for x
    x = 2,879,437,522.03/32,865.47
  6. Step 6: Final answer
    x = 87,612.85

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.