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Finding the Third Proportional to 4,284.38 and 9,917.63

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Solution

The third proportional to 4,284.38 and 9,917.63 is: 22,957.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284.38 : 9,917.63 = 9,917.63 : x
  2. Step 2: Convert to fraction form
    4,284.38/9,917.63 = 9,917.63/x
  3. Step 3: Cross multiply
    4,284.38x = 9,917.63 × 9,917.63
  4. Step 4: Simplify right side
    4,284.38x = 98,359,285.64
  5. Step 5: Solve for x
    x = 98,359,285.64/4,284.38
  6. Step 6: Final answer
    x = 22,957.67

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.