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Finding the Third Proportional to 22,534 and 46,496

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Solution

The third proportional to 22,534 and 46,496 is: 95,938.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,534 : 46,496 = 46,496 : x
  2. Step 2: Convert to fraction form
    22,534/46,496 = 46,496/x
  3. Step 3: Cross multiply
    22,534x = 46,496 × 46,496
  4. Step 4: Simplify right side
    22,534x = 2,161,878,016
  5. Step 5: Solve for x
    x = 2,161,878,016/22,534
  6. Step 6: Final answer
    x = 95,938.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.