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Finding the Third Proportional to 47,176 and 64,922

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Solution

The third proportional to 47,176 and 64,922 is: 89,343.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,176 : 64,922 = 64,922 : x
  2. Step 2: Convert to fraction form
    47,176/64,922 = 64,922/x
  3. Step 3: Cross multiply
    47,176x = 64,922 × 64,922
  4. Step 4: Simplify right side
    47,176x = 4,214,866,084
  5. Step 5: Solve for x
    x = 4,214,866,084/47,176
  6. Step 6: Final answer
    x = 89,343.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.