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Finding the Third Proportional to 3,733.59 and 4,894.17

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Solution

The third proportional to 3,733.59 and 4,894.17 is: 6,415.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.59 : 4,894.17 = 4,894.17 : x
  2. Step 2: Convert to fraction form
    3,733.59/4,894.17 = 4,894.17/x
  3. Step 3: Cross multiply
    3,733.59x = 4,894.17 × 4,894.17
  4. Step 4: Simplify right side
    3,733.59x = 23,952,918.34
  5. Step 5: Solve for x
    x = 23,952,918.34/3,733.59
  6. Step 6: Final answer
    x = 6,415.51

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.