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Finding the Third Proportional to 22,672 and 53,346

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Solution

The third proportional to 22,672 and 53,346 is: 125,520.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,672 : 53,346 = 53,346 : x
  2. Step 2: Convert to fraction form
    22,672/53,346 = 53,346/x
  3. Step 3: Cross multiply
    22,672x = 53,346 × 53,346
  4. Step 4: Simplify right side
    22,672x = 2,845,795,716
  5. Step 5: Solve for x
    x = 2,845,795,716/22,672
  6. Step 6: Final answer
    x = 125,520.28

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.