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Finding the Third Proportional to 32,468.50 and 41,488.50

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Solution

The third proportional to 32,468.50 and 41,488.50 is: 53,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,468.50 : 41,488.50 = 41,488.50 : x
  2. Step 2: Convert to fraction form
    32,468.50/41,488.50 = 41,488.50/x
  3. Step 3: Cross multiply
    32,468.50x = 41,488.50 × 41,488.50
  4. Step 4: Simplify right side
    32,468.50x = 1,721,295,632.25
  5. Step 5: Solve for x
    x = 1,721,295,632.25/32,468.50
  6. Step 6: Final answer
    x = 53,014.33

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.