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Finding the Third Proportional to 17,943 and 39,043

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Solution

The third proportional to 17,943 and 39,043 is: 84,955.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,943 : 39,043 = 39,043 : x
  2. Step 2: Convert to fraction form
    17,943/39,043 = 39,043/x
  3. Step 3: Cross multiply
    17,943x = 39,043 × 39,043
  4. Step 4: Simplify right side
    17,943x = 1,524,355,849
  5. Step 5: Solve for x
    x = 1,524,355,849/17,943
  6. Step 6: Final answer
    x = 84,955.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.