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Finding the Third Proportional to 12,709.13 and 19,063.69

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Solution

The third proportional to 12,709.13 and 19,063.69 is: 28,595.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.13 : 19,063.69 = 19,063.69 : x
  2. Step 2: Convert to fraction form
    12,709.13/19,063.69 = 19,063.69/x
  3. Step 3: Cross multiply
    12,709.13x = 19,063.69 × 19,063.69
  4. Step 4: Simplify right side
    12,709.13x = 363,424,181.10
  5. Step 5: Solve for x
    x = 363,424,181.10/12,709.13
  6. Step 6: Final answer
    x = 28,595.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.