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Finding the Third Proportional to 12,598.03 and 19,819.69

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Solution

The third proportional to 12,598.03 and 19,819.69 is: 31,181.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.03 : 19,819.69 = 19,819.69 : x
  2. Step 2: Convert to fraction form
    12,598.03/19,819.69 = 19,819.69/x
  3. Step 3: Cross multiply
    12,598.03x = 19,819.69 × 19,819.69
  4. Step 4: Simplify right side
    12,598.03x = 392,820,012.60
  5. Step 5: Solve for x
    x = 392,820,012.60/12,598.03
  6. Step 6: Final answer
    x = 31,181.06

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.