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Finding the Third Proportional to 13,399.17 and 19,697.34

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Solution

The third proportional to 13,399.17 and 19,697.34 is: 28,955.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,399.17 : 19,697.34 = 19,697.34 : x
  2. Step 2: Convert to fraction form
    13,399.17/19,697.34 = 19,697.34/x
  3. Step 3: Cross multiply
    13,399.17x = 19,697.34 × 19,697.34
  4. Step 4: Simplify right side
    13,399.17x = 387,985,350.81
  5. Step 5: Solve for x
    x = 387,985,350.81/13,399.17
  6. Step 6: Final answer
    x = 28,955.92

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.