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Finding the Third Proportional to 22,102 and 46,772

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Solution

The third proportional to 22,102 and 46,772 is: 98,978.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102 : 46,772 = 46,772 : x
  2. Step 2: Convert to fraction form
    22,102/46,772 = 46,772/x
  3. Step 3: Cross multiply
    22,102x = 46,772 × 46,772
  4. Step 4: Simplify right side
    22,102x = 2,187,619,984
  5. Step 5: Solve for x
    x = 2,187,619,984/22,102
  6. Step 6: Final answer
    x = 98,978.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.