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Finding the Third Proportional to 43,738 and 67,547

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Solution

The third proportional to 43,738 and 67,547 is: 104,316.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,738 : 67,547 = 67,547 : x
  2. Step 2: Convert to fraction form
    43,738/67,547 = 67,547/x
  3. Step 3: Cross multiply
    43,738x = 67,547 × 67,547
  4. Step 4: Simplify right side
    43,738x = 4,562,597,209
  5. Step 5: Solve for x
    x = 4,562,597,209/43,738
  6. Step 6: Final answer
    x = 104,316.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.