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Finding the Third Proportional to 2,208.52 and 4,807.16

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Solution

The third proportional to 2,208.52 and 4,807.16 is: 10,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.52 : 4,807.16 = 4,807.16 : x
  2. Step 2: Convert to fraction form
    2,208.52/4,807.16 = 4,807.16/x
  3. Step 3: Cross multiply
    2,208.52x = 4,807.16 × 4,807.16
  4. Step 4: Simplify right side
    2,208.52x = 23,108,788.77
  5. Step 5: Solve for x
    x = 23,108,788.77/2,208.52
  6. Step 6: Final answer
    x = 10,463.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.