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Finding the Third Proportional to 2,196.28 and 4,830.47

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Solution

The third proportional to 2,196.28 and 4,830.47 is: 10,624.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.28 : 4,830.47 = 4,830.47 : x
  2. Step 2: Convert to fraction form
    2,196.28/4,830.47 = 4,830.47/x
  3. Step 3: Cross multiply
    2,196.28x = 4,830.47 × 4,830.47
  4. Step 4: Simplify right side
    2,196.28x = 23,333,428.34
  5. Step 5: Solve for x
    x = 23,333,428.34/2,196.28
  6. Step 6: Final answer
    x = 10,624.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.