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Finding the Third Proportional to 1,771.45 and 3,878.58

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Solution

The third proportional to 1,771.45 and 3,878.58 is: 8,492.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.45 : 3,878.58 = 3,878.58 : x
  2. Step 2: Convert to fraction form
    1,771.45/3,878.58 = 3,878.58/x
  3. Step 3: Cross multiply
    1,771.45x = 3,878.58 × 3,878.58
  4. Step 4: Simplify right side
    1,771.45x = 15,043,368.27
  5. Step 5: Solve for x
    x = 15,043,368.27/1,771.45
  6. Step 6: Final answer
    x = 8,492.11

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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.