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Finding the Third Proportional to 22,642 and 47,332

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Solution

The third proportional to 22,642 and 47,332 is: 98,945.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642 : 47,332 = 47,332 : x
  2. Step 2: Convert to fraction form
    22,642/47,332 = 47,332/x
  3. Step 3: Cross multiply
    22,642x = 47,332 × 47,332
  4. Step 4: Simplify right side
    22,642x = 2,240,318,224
  5. Step 5: Solve for x
    x = 2,240,318,224/22,642
  6. Step 6: Final answer
    x = 98,945.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.