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Finding the Third Proportional to 14,142.88 and 29,447.61

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Solution

The third proportional to 14,142.88 and 29,447.61 is: 61,314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.88 : 29,447.61 = 29,447.61 : x
  2. Step 2: Convert to fraction form
    14,142.88/29,447.61 = 29,447.61/x
  3. Step 3: Cross multiply
    14,142.88x = 29,447.61 × 29,447.61
  4. Step 4: Simplify right side
    14,142.88x = 867,161,927.96
  5. Step 5: Solve for x
    x = 867,161,927.96/14,142.88
  6. Step 6: Final answer
    x = 61,314.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.