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Finding the Third Proportional to 32,036.13 and 47,789.37

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Solution

The third proportional to 32,036.13 and 47,789.37 is: 71,288.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,036.13 : 47,789.37 = 47,789.37 : x
  2. Step 2: Convert to fraction form
    32,036.13/47,789.37 = 47,789.37/x
  3. Step 3: Cross multiply
    32,036.13x = 47,789.37 × 47,789.37
  4. Step 4: Simplify right side
    32,036.13x = 2,283,823,616.18
  5. Step 5: Solve for x
    x = 2,283,823,616.18/32,036.13
  6. Step 6: Final answer
    x = 71,288.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.