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Finding the Third Proportional to 23,849 and 35,043

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Solution

The third proportional to 23,849 and 35,043 is: 51,491.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,849 : 35,043 = 35,043 : x
  2. Step 2: Convert to fraction form
    23,849/35,043 = 35,043/x
  3. Step 3: Cross multiply
    23,849x = 35,043 × 35,043
  4. Step 4: Simplify right side
    23,849x = 1,228,011,849
  5. Step 5: Solve for x
    x = 1,228,011,849/23,849
  6. Step 6: Final answer
    x = 51,491.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.