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Finding the Third Proportional to 10,899.56 and 14,709.09

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Solution

The third proportional to 10,899.56 and 14,709.09 is: 19,850.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,899.56 : 14,709.09 = 14,709.09 : x
  2. Step 2: Convert to fraction form
    10,899.56/14,709.09 = 14,709.09/x
  3. Step 3: Cross multiply
    10,899.56x = 14,709.09 × 14,709.09
  4. Step 4: Simplify right side
    10,899.56x = 216,357,438.95
  5. Step 5: Solve for x
    x = 216,357,438.95/10,899.56
  6. Step 6: Final answer
    x = 19,850.10

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.