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Finding the Third Proportional to 7,719.05 and 12,292.38

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Solution

The third proportional to 7,719.05 and 12,292.38 is: 19,575.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719.05 : 12,292.38 = 12,292.38 : x
  2. Step 2: Convert to fraction form
    7,719.05/12,292.38 = 12,292.38/x
  3. Step 3: Cross multiply
    7,719.05x = 12,292.38 × 12,292.38
  4. Step 4: Simplify right side
    7,719.05x = 151,102,675.21
  5. Step 5: Solve for x
    x = 151,102,675.21/7,719.05
  6. Step 6: Final answer
    x = 19,575.30

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.