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Finding the Third Proportional to 27,927.28 and 39,065.63

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Solution

The third proportional to 27,927.28 and 39,065.63 is: 54,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,927.28 : 39,065.63 = 39,065.63 : x
  2. Step 2: Convert to fraction form
    27,927.28/39,065.63 = 39,065.63/x
  3. Step 3: Cross multiply
    27,927.28x = 39,065.63 × 39,065.63
  4. Step 4: Simplify right side
    27,927.28x = 1,526,123,056.64
  5. Step 5: Solve for x
    x = 1,526,123,056.64/27,927.28
  6. Step 6: Final answer
    x = 54,646.32

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.