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Finding the Third Proportional to 22,672 and 35,224

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Solution

The third proportional to 22,672 and 35,224 is: 54,725.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,672 : 35,224 = 35,224 : x
  2. Step 2: Convert to fraction form
    22,672/35,224 = 35,224/x
  3. Step 3: Cross multiply
    22,672x = 35,224 × 35,224
  4. Step 4: Simplify right side
    22,672x = 1,240,730,176
  5. Step 5: Solve for x
    x = 1,240,730,176/22,672
  6. Step 6: Final answer
    x = 54,725.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.