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Finding the Third Proportional to 4,564.69 and 9,822.94

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Solution

The third proportional to 4,564.69 and 9,822.94 is: 21,138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.69 : 9,822.94 = 9,822.94 : x
  2. Step 2: Convert to fraction form
    4,564.69/9,822.94 = 9,822.94/x
  3. Step 3: Cross multiply
    4,564.69x = 9,822.94 × 9,822.94
  4. Step 4: Simplify right side
    4,564.69x = 96,490,101.13
  5. Step 5: Solve for x
    x = 96,490,101.13/4,564.69
  6. Step 6: Final answer
    x = 21,138.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.