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Finding the Third Proportional to 3,093.19 and 4,929.61

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Solution

The third proportional to 3,093.19 and 4,929.61 is: 7,856.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.19 : 4,929.61 = 4,929.61 : x
  2. Step 2: Convert to fraction form
    3,093.19/4,929.61 = 4,929.61/x
  3. Step 3: Cross multiply
    3,093.19x = 4,929.61 × 4,929.61
  4. Step 4: Simplify right side
    3,093.19x = 24,301,048.59
  5. Step 5: Solve for x
    x = 24,301,048.59/3,093.19
  6. Step 6: Final answer
    x = 7,856.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.