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Finding the Third Proportional to 19,933.38 and 32,117.75

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Solution

The third proportional to 19,933.38 and 32,117.75 is: 51,749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,933.38 : 32,117.75 = 32,117.75 : x
  2. Step 2: Convert to fraction form
    19,933.38/32,117.75 = 32,117.75/x
  3. Step 3: Cross multiply
    19,933.38x = 32,117.75 × 32,117.75
  4. Step 4: Simplify right side
    19,933.38x = 1,031,549,865.06
  5. Step 5: Solve for x
    x = 1,031,549,865.06/19,933.38
  6. Step 6: Final answer
    x = 51,749.89

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.