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Finding the Third Proportional to 32,409.75 and 52,921.88

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Solution

The third proportional to 32,409.75 and 52,921.88 is: 86,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.75 : 52,921.88 = 52,921.88 : x
  2. Step 2: Convert to fraction form
    32,409.75/52,921.88 = 52,921.88/x
  3. Step 3: Cross multiply
    32,409.75x = 52,921.88 × 52,921.88
  4. Step 4: Simplify right side
    32,409.75x = 2,800,724,853.52
  5. Step 5: Solve for x
    x = 2,800,724,853.52/32,409.75
  6. Step 6: Final answer
    x = 86,416.12

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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.