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Finding the Third Proportional to 9,222.19 and 19,788.19

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Solution

The third proportional to 9,222.19 and 19,788.19 is: 42,459.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.19 : 19,788.19 = 19,788.19 : x
  2. Step 2: Convert to fraction form
    9,222.19/19,788.19 = 19,788.19/x
  3. Step 3: Cross multiply
    9,222.19x = 19,788.19 × 19,788.19
  4. Step 4: Simplify right side
    9,222.19x = 391,572,364.54
  5. Step 5: Solve for x
    x = 391,572,364.54/9,222.19
  6. Step 6: Final answer
    x = 42,459.81

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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.