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Finding the Third Proportional to 14,398.07 and 21,486.04

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Solution

The third proportional to 14,398.07 and 21,486.04 is: 32,063.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,398.07 : 21,486.04 = 21,486.04 : x
  2. Step 2: Convert to fraction form
    14,398.07/21,486.04 = 21,486.04/x
  3. Step 3: Cross multiply
    14,398.07x = 21,486.04 × 21,486.04
  4. Step 4: Simplify right side
    14,398.07x = 461,649,958.53
  5. Step 5: Solve for x
    x = 461,649,958.53/14,398.07
  6. Step 6: Final answer
    x = 32,063.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.