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Finding the Third Proportional to 9,136.13 and 12,519.56

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Solution

The third proportional to 9,136.13 and 12,519.56 is: 17,156.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.13 : 12,519.56 = 12,519.56 : x
  2. Step 2: Convert to fraction form
    9,136.13/12,519.56 = 12,519.56/x
  3. Step 3: Cross multiply
    9,136.13x = 12,519.56 × 12,519.56
  4. Step 4: Simplify right side
    9,136.13x = 156,739,445.19
  5. Step 5: Solve for x
    x = 156,739,445.19/9,136.13
  6. Step 6: Final answer
    x = 17,156.01

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.