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Finding the Third Proportional to 12,598.03 and 20,743.59

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Solution

The third proportional to 12,598.03 and 20,743.59 is: 34,155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.03 : 20,743.59 = 20,743.59 : x
  2. Step 2: Convert to fraction form
    12,598.03/20,743.59 = 20,743.59/x
  3. Step 3: Cross multiply
    12,598.03x = 20,743.59 × 20,743.59
  4. Step 4: Simplify right side
    12,598.03x = 430,296,681.67
  5. Step 5: Solve for x
    x = 430,296,681.67/12,598.03
  6. Step 6: Final answer
    x = 34,155.87

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.