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Finding the Third Proportional to 14,773.88 and 31,623.38

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Solution

The third proportional to 14,773.88 and 31,623.38 is: 67,689.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,773.88 : 31,623.38 = 31,623.38 : x
  2. Step 2: Convert to fraction form
    14,773.88/31,623.38 = 31,623.38/x
  3. Step 3: Cross multiply
    14,773.88x = 31,623.38 × 31,623.38
  4. Step 4: Simplify right side
    14,773.88x = 1,000,037,846.39
  5. Step 5: Solve for x
    x = 1,000,037,846.39/14,773.88
  6. Step 6: Final answer
    x = 67,689.61

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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.