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Finding the Third Proportional to 1,887.05 and 2,934.98

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Solution

The third proportional to 1,887.05 and 2,934.98 is: 4,564.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.05 : 2,934.98 = 2,934.98 : x
  2. Step 2: Convert to fraction form
    1,887.05/2,934.98 = 2,934.98/x
  3. Step 3: Cross multiply
    1,887.05x = 2,934.98 × 2,934.98
  4. Step 4: Simplify right side
    1,887.05x = 8,614,133.28
  5. Step 5: Solve for x
    x = 8,614,133.28/1,887.05
  6. Step 6: Final answer
    x = 4,564.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.