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Finding the Third Proportional to 12,619.34 and 19,595.67

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Solution

The third proportional to 12,619.34 and 19,595.67 is: 30,428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,619.34 : 19,595.67 = 19,595.67 : x
  2. Step 2: Convert to fraction form
    12,619.34/19,595.67 = 19,595.67/x
  3. Step 3: Cross multiply
    12,619.34x = 19,595.67 × 19,595.67
  4. Step 4: Simplify right side
    12,619.34x = 383,990,356.23
  5. Step 5: Solve for x
    x = 383,990,356.23/12,619.34
  6. Step 6: Final answer
    x = 30,428.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.