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Finding the Third Proportional to 4,678.31 and 6,834.94

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Solution

The third proportional to 4,678.31 and 6,834.94 is: 9,985.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.31 : 6,834.94 = 6,834.94 : x
  2. Step 2: Convert to fraction form
    4,678.31/6,834.94 = 6,834.94/x
  3. Step 3: Cross multiply
    4,678.31x = 6,834.94 × 6,834.94
  4. Step 4: Simplify right side
    4,678.31x = 46,716,370.63
  5. Step 5: Solve for x
    x = 46,716,370.63/4,678.31
  6. Step 6: Final answer
    x = 9,985.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.