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Finding the Third Proportional to 14,337.75 and 30,872.63

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Solution

The third proportional to 14,337.75 and 30,872.63 is: 66,476.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,337.75 : 30,872.63 = 30,872.63 : x
  2. Step 2: Convert to fraction form
    14,337.75/30,872.63 = 30,872.63/x
  3. Step 3: Cross multiply
    14,337.75x = 30,872.63 × 30,872.63
  4. Step 4: Simplify right side
    14,337.75x = 953,118,974.39
  5. Step 5: Solve for x
    x = 953,118,974.39/14,337.75
  6. Step 6: Final answer
    x = 66,476.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.