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Finding the Third Proportional to 10,588.03 and 14,115.46

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Solution

The third proportional to 10,588.03 and 14,115.46 is: 18,818.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.03 : 14,115.46 = 14,115.46 : x
  2. Step 2: Convert to fraction form
    10,588.03/14,115.46 = 14,115.46/x
  3. Step 3: Cross multiply
    10,588.03x = 14,115.46 × 14,115.46
  4. Step 4: Simplify right side
    10,588.03x = 199,246,127.20
  5. Step 5: Solve for x
    x = 199,246,127.20/10,588.03
  6. Step 6: Final answer
    x = 18,818.05

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.