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Finding the Third Proportional to 6,434.44 and 9,737.72

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Solution

The third proportional to 6,434.44 and 9,737.72 is: 14,736.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.44 : 9,737.72 = 9,737.72 : x
  2. Step 2: Convert to fraction form
    6,434.44/9,737.72 = 9,737.72/x
  3. Step 3: Cross multiply
    6,434.44x = 9,737.72 × 9,737.72
  4. Step 4: Simplify right side
    6,434.44x = 94,823,166.45
  5. Step 5: Solve for x
    x = 94,823,166.45/6,434.44
  6. Step 6: Final answer
    x = 14,736.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.