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Finding the Third Proportional to 14,049 and 21,751.88

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Solution

The third proportional to 14,049 and 21,751.88 is: 33,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,049 : 21,751.88 = 21,751.88 : x
  2. Step 2: Convert to fraction form
    14,049/21,751.88 = 21,751.88/x
  3. Step 3: Cross multiply
    14,049x = 21,751.88 × 21,751.88
  4. Step 4: Simplify right side
    14,049x = 473,144,066.02
  5. Step 5: Solve for x
    x = 473,144,066.02/14,049
  6. Step 6: Final answer
    x = 33,678.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.