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Finding the Third Proportional to 3,032.88 and 6,544.63

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Solution

The third proportional to 3,032.88 and 6,544.63 is: 14,122.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.88 : 6,544.63 = 6,544.63 : x
  2. Step 2: Convert to fraction form
    3,032.88/6,544.63 = 6,544.63/x
  3. Step 3: Cross multiply
    3,032.88x = 6,544.63 × 6,544.63
  4. Step 4: Simplify right side
    3,032.88x = 42,832,116.39
  5. Step 5: Solve for x
    x = 42,832,116.39/3,032.88
  6. Step 6: Final answer
    x = 14,122.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.