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Finding the Third Proportional to 21,758.20 and 29,356.80

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Solution

The third proportional to 21,758.20 and 29,356.80 is: 39,609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,758.20 : 29,356.80 = 29,356.80 : x
  2. Step 2: Convert to fraction form
    21,758.20/29,356.80 = 29,356.80/x
  3. Step 3: Cross multiply
    21,758.20x = 29,356.80 × 29,356.80
  4. Step 4: Simplify right side
    21,758.20x = 861,821,981.46
  5. Step 5: Solve for x
    x = 861,821,981.46/21,758.20
  6. Step 6: Final answer
    x = 39,609.06

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.