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Finding the Third Proportional to 7,722.84 and 12,237.33

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Solution

The third proportional to 7,722.84 and 12,237.33 is: 19,390.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.84 : 12,237.33 = 12,237.33 : x
  2. Step 2: Convert to fraction form
    7,722.84/12,237.33 = 12,237.33/x
  3. Step 3: Cross multiply
    7,722.84x = 12,237.33 × 12,237.33
  4. Step 4: Simplify right side
    7,722.84x = 149,752,199.64
  5. Step 5: Solve for x
    x = 149,752,199.64/7,722.84
  6. Step 6: Final answer
    x = 19,390.81

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.