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Finding the Third Proportional to 13,410 and 19,956.38

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Solution

The third proportional to 13,410 and 19,956.38 is: 29,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410 : 19,956.38 = 19,956.38 : x
  2. Step 2: Convert to fraction form
    13,410/19,956.38 = 19,956.38/x
  3. Step 3: Cross multiply
    13,410x = 19,956.38 × 19,956.38
  4. Step 4: Simplify right side
    13,410x = 398,256,903.14
  5. Step 5: Solve for x
    x = 398,256,903.14/13,410
  6. Step 6: Final answer
    x = 29,698.50

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.