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Finding the Third Proportional to 21,404.75 and 34,182.75

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Solution

The third proportional to 21,404.75 and 34,182.75 is: 54,588.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,404.75 : 34,182.75 = 34,182.75 : x
  2. Step 2: Convert to fraction form
    21,404.75/34,182.75 = 34,182.75/x
  3. Step 3: Cross multiply
    21,404.75x = 34,182.75 × 34,182.75
  4. Step 4: Simplify right side
    21,404.75x = 1,168,460,397.56
  5. Step 5: Solve for x
    x = 1,168,460,397.56/21,404.75
  6. Step 6: Final answer
    x = 54,588.84

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.