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Finding the Third Proportional to 13,410.56 and 16,326.56

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Solution

The third proportional to 13,410.56 and 16,326.56 is: 19,876.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.56 : 16,326.56 = 16,326.56 : x
  2. Step 2: Convert to fraction form
    13,410.56/16,326.56 = 16,326.56/x
  3. Step 3: Cross multiply
    13,410.56x = 16,326.56 × 16,326.56
  4. Step 4: Simplify right side
    13,410.56x = 266,556,643.07
  5. Step 5: Solve for x
    x = 266,556,643.07/13,410.56
  6. Step 6: Final answer
    x = 19,876.62

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.