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Finding the Third Proportional to 19,672 and 43,340

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Solution

The third proportional to 19,672 and 43,340 is: 95,483.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,672 : 43,340 = 43,340 : x
  2. Step 2: Convert to fraction form
    19,672/43,340 = 43,340/x
  3. Step 3: Cross multiply
    19,672x = 43,340 × 43,340
  4. Step 4: Simplify right side
    19,672x = 1,878,355,600
  5. Step 5: Solve for x
    x = 1,878,355,600/19,672
  6. Step 6: Final answer
    x = 95,483.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.