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Finding the Third Proportional to 14,604.66 and 21,882.19

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Solution

The third proportional to 14,604.66 and 21,882.19 is: 32,786.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,604.66 : 21,882.19 = 21,882.19 : x
  2. Step 2: Convert to fraction form
    14,604.66/21,882.19 = 21,882.19/x
  3. Step 3: Cross multiply
    14,604.66x = 21,882.19 × 21,882.19
  4. Step 4: Simplify right side
    14,604.66x = 478,830,129.79
  5. Step 5: Solve for x
    x = 478,830,129.79/14,604.66
  6. Step 6: Final answer
    x = 32,786.13

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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.