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Finding the Third Proportional to 14,196 and 21,491

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Solution

The third proportional to 14,196 and 21,491 is: 32,534.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,196 : 21,491 = 21,491 : x
  2. Step 2: Convert to fraction form
    14,196/21,491 = 21,491/x
  3. Step 3: Cross multiply
    14,196x = 21,491 × 21,491
  4. Step 4: Simplify right side
    14,196x = 461,863,081
  5. Step 5: Solve for x
    x = 461,863,081/14,196
  6. Step 6: Final answer
    x = 32,534.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.