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Finding the Third Proportional to 4,887.84 and 10,314.21

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Solution

The third proportional to 4,887.84 and 10,314.21 is: 21,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.84 : 10,314.21 = 10,314.21 : x
  2. Step 2: Convert to fraction form
    4,887.84/10,314.21 = 10,314.21/x
  3. Step 3: Cross multiply
    4,887.84x = 10,314.21 × 10,314.21
  4. Step 4: Simplify right side
    4,887.84x = 106,382,947.26
  5. Step 5: Solve for x
    x = 106,382,947.26/4,887.84
  6. Step 6: Final answer
    x = 21,764.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.