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Finding the Third Proportional to 4,564.50 and 9,843

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Solution

The third proportional to 4,564.50 and 9,843 is: 21,225.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.50 : 9,843 = 9,843 : x
  2. Step 2: Convert to fraction form
    4,564.50/9,843 = 9,843/x
  3. Step 3: Cross multiply
    4,564.50x = 9,843 × 9,843
  4. Step 4: Simplify right side
    4,564.50x = 96,884,649
  5. Step 5: Solve for x
    x = 96,884,649/4,564.50
  6. Step 6: Final answer
    x = 21,225.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.