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Finding the Third Proportional to 14,274 and 28,998

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Solution

The third proportional to 14,274 and 28,998 is: 58,910.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274 : 28,998 = 28,998 : x
  2. Step 2: Convert to fraction form
    14,274/28,998 = 28,998/x
  3. Step 3: Cross multiply
    14,274x = 28,998 × 28,998
  4. Step 4: Simplify right side
    14,274x = 840,884,004
  5. Step 5: Solve for x
    x = 840,884,004/14,274
  6. Step 6: Final answer
    x = 58,910.19

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.