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Finding the Third Proportional to 1,046.72 and 2,201.16

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Solution

The third proportional to 1,046.72 and 2,201.16 is: 4,628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.72 : 2,201.16 = 2,201.16 : x
  2. Step 2: Convert to fraction form
    1,046.72/2,201.16 = 2,201.16/x
  3. Step 3: Cross multiply
    1,046.72x = 2,201.16 × 2,201.16
  4. Step 4: Simplify right side
    1,046.72x = 4,845,088.84
  5. Step 5: Solve for x
    x = 4,845,088.84/1,046.72
  6. Step 6: Final answer
    x = 4,628.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.