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Finding the Third Proportional to 10,559.11 and 14,221.83

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Solution

The third proportional to 10,559.11 and 14,221.83 is: 19,155.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.11 : 14,221.83 = 14,221.83 : x
  2. Step 2: Convert to fraction form
    10,559.11/14,221.83 = 14,221.83/x
  3. Step 3: Cross multiply
    10,559.11x = 14,221.83 × 14,221.83
  4. Step 4: Simplify right side
    10,559.11x = 202,260,395.22
  5. Step 5: Solve for x
    x = 202,260,395.22/10,559.11
  6. Step 6: Final answer
    x = 19,155.06

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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.