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Finding the Third Proportional to 1,738.34 and 3,805.10

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Solution

The third proportional to 1,738.34 and 3,805.10 is: 8,329.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.34 : 3,805.10 = 3,805.10 : x
  2. Step 2: Convert to fraction form
    1,738.34/3,805.10 = 3,805.10/x
  3. Step 3: Cross multiply
    1,738.34x = 3,805.10 × 3,805.10
  4. Step 4: Simplify right side
    1,738.34x = 14,478,797.90
  5. Step 5: Solve for x
    x = 14,478,797.90/1,738.34
  6. Step 6: Final answer
    x = 8,329.11

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.