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Finding the Third Proportional to 32,960.25 and 52,575.75

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Solution

The third proportional to 32,960.25 and 52,575.75 is: 83,864.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,960.25 : 52,575.75 = 52,575.75 : x
  2. Step 2: Convert to fraction form
    32,960.25/52,575.75 = 52,575.75/x
  3. Step 3: Cross multiply
    32,960.25x = 52,575.75 × 52,575.75
  4. Step 4: Simplify right side
    32,960.25x = 2,764,209,488.06
  5. Step 5: Solve for x
    x = 2,764,209,488.06/32,960.25
  6. Step 6: Final answer
    x = 83,864.94

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.