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Finding the Third Proportional to 4,222.13 and 5,646.38

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Solution

The third proportional to 4,222.13 and 5,646.38 is: 7,551.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.13 : 5,646.38 = 5,646.38 : x
  2. Step 2: Convert to fraction form
    4,222.13/5,646.38 = 5,646.38/x
  3. Step 3: Cross multiply
    4,222.13x = 5,646.38 × 5,646.38
  4. Step 4: Simplify right side
    4,222.13x = 31,881,550.64
  5. Step 5: Solve for x
    x = 31,881,550.64/4,222.13
  6. Step 6: Final answer
    x = 7,551.07

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.