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Finding the Third Proportional to 14,229.38 and 21,389.91

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Solution

The third proportional to 14,229.38 and 21,389.91 is: 32,153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229.38 : 21,389.91 = 21,389.91 : x
  2. Step 2: Convert to fraction form
    14,229.38/21,389.91 = 21,389.91/x
  3. Step 3: Cross multiply
    14,229.38x = 21,389.91 × 21,389.91
  4. Step 4: Simplify right side
    14,229.38x = 457,528,089.38
  5. Step 5: Solve for x
    x = 457,528,089.38/14,229.38
  6. Step 6: Final answer
    x = 32,153.77

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