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Finding the Third Proportional to 14,221 and 30,498

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Solution

The third proportional to 14,221 and 30,498 is: 65,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,221 : 30,498 = 30,498 : x
  2. Step 2: Convert to fraction form
    14,221/30,498 = 30,498/x
  3. Step 3: Cross multiply
    14,221x = 30,498 × 30,498
  4. Step 4: Simplify right side
    14,221x = 930,128,004
  5. Step 5: Solve for x
    x = 930,128,004/14,221
  6. Step 6: Final answer
    x = 65,405.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.