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Finding the Third Proportional to 14,278.88 and 29,468.63

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Solution

The third proportional to 14,278.88 and 29,468.63 is: 60,817.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,278.88 : 29,468.63 = 29,468.63 : x
  2. Step 2: Convert to fraction form
    14,278.88/29,468.63 = 29,468.63/x
  3. Step 3: Cross multiply
    14,278.88x = 29,468.63 × 29,468.63
  4. Step 4: Simplify right side
    14,278.88x = 868,399,859.39
  5. Step 5: Solve for x
    x = 868,399,859.39/14,278.88
  6. Step 6: Final answer
    x = 60,817.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.