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Finding the Third Proportional to 18,547 and 43,759

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Solution

The third proportional to 18,547 and 43,759 is: 103,243.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,547 : 43,759 = 43,759 : x
  2. Step 2: Convert to fraction form
    18,547/43,759 = 43,759/x
  3. Step 3: Cross multiply
    18,547x = 43,759 × 43,759
  4. Step 4: Simplify right side
    18,547x = 1,914,850,081
  5. Step 5: Solve for x
    x = 1,914,850,081/18,547
  6. Step 6: Final answer
    x = 103,243.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.