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Finding the Third Proportional to 17,439 and 35,804

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Solution

The third proportional to 17,439 and 35,804 is: 73,509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,439 : 35,804 = 35,804 : x
  2. Step 2: Convert to fraction form
    17,439/35,804 = 35,804/x
  3. Step 3: Cross multiply
    17,439x = 35,804 × 35,804
  4. Step 4: Simplify right side
    17,439x = 1,281,926,416
  5. Step 5: Solve for x
    x = 1,281,926,416/17,439
  6. Step 6: Final answer
    x = 73,509.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.