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Finding the Third Proportional to 1,771.17 and 3,878.02

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Solution

The third proportional to 1,771.17 and 3,878.02 is: 8,490.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.17 : 3,878.02 = 3,878.02 : x
  2. Step 2: Convert to fraction form
    1,771.17/3,878.02 = 3,878.02/x
  3. Step 3: Cross multiply
    1,771.17x = 3,878.02 × 3,878.02
  4. Step 4: Simplify right side
    1,771.17x = 15,039,005.19
  5. Step 5: Solve for x
    x = 15,039,005.19/1,771.17
  6. Step 6: Final answer
    x = 8,490.99

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Why These Related Problems?

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