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Finding the Third Proportional to 32,827.78 and 42,499.69

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Solution

The third proportional to 32,827.78 and 42,499.69 is: 55,021.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,827.78 : 42,499.69 = 42,499.69 : x
  2. Step 2: Convert to fraction form
    32,827.78/42,499.69 = 42,499.69/x
  3. Step 3: Cross multiply
    32,827.78x = 42,499.69 × 42,499.69
  4. Step 4: Simplify right side
    32,827.78x = 1,806,223,437.60
  5. Step 5: Solve for x
    x = 1,806,223,437.60/32,827.78
  6. Step 6: Final answer
    x = 55,021.19

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.