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Finding the Third Proportional to 35,342 and 75,804

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Solution

The third proportional to 35,342 and 75,804 is: 162,589.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,342 : 75,804 = 75,804 : x
  2. Step 2: Convert to fraction form
    35,342/75,804 = 75,804/x
  3. Step 3: Cross multiply
    35,342x = 75,804 × 75,804
  4. Step 4: Simplify right side
    35,342x = 5,746,246,416
  5. Step 5: Solve for x
    x = 5,746,246,416/35,342
  6. Step 6: Final answer
    x = 162,589.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.