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Finding the Third Proportional to 4,705.59 and 6,917.91

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Solution

The third proportional to 4,705.59 and 6,917.91 is: 10,170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.59 : 6,917.91 = 6,917.91 : x
  2. Step 2: Convert to fraction form
    4,705.59/6,917.91 = 6,917.91/x
  3. Step 3: Cross multiply
    4,705.59x = 6,917.91 × 6,917.91
  4. Step 4: Simplify right side
    4,705.59x = 47,857,426.88
  5. Step 5: Solve for x
    x = 47,857,426.88/4,705.59
  6. Step 6: Final answer
    x = 10,170.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.