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Finding the Third Proportional to 14,266.13 and 21,399.19

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Solution

The third proportional to 14,266.13 and 21,399.19 is: 32,098.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,266.13 : 21,399.19 = 21,399.19 : x
  2. Step 2: Convert to fraction form
    14,266.13/21,399.19 = 21,399.19/x
  3. Step 3: Cross multiply
    14,266.13x = 21,399.19 × 21,399.19
  4. Step 4: Simplify right side
    14,266.13x = 457,925,225.66
  5. Step 5: Solve for x
    x = 457,925,225.66/14,266.13
  6. Step 6: Final answer
    x = 32,098.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.