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Finding the Third Proportional to 1,887.84 and 4,049.16

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Solution

The third proportional to 1,887.84 and 4,049.16 is: 8,684.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.84 : 4,049.16 = 4,049.16 : x
  2. Step 2: Convert to fraction form
    1,887.84/4,049.16 = 4,049.16/x
  3. Step 3: Cross multiply
    1,887.84x = 4,049.16 × 4,049.16
  4. Step 4: Simplify right side
    1,887.84x = 16,395,666.34
  5. Step 5: Solve for x
    x = 16,395,666.34/1,887.84
  6. Step 6: Final answer
    x = 8,684.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.