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Finding the Third Proportional to 34,998 and 53,867

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Solution

The third proportional to 34,998 and 53,867 is: 82,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,998 : 53,867 = 53,867 : x
  2. Step 2: Convert to fraction form
    34,998/53,867 = 53,867/x
  3. Step 3: Cross multiply
    34,998x = 53,867 × 53,867
  4. Step 4: Simplify right side
    34,998x = 2,901,653,689
  5. Step 5: Solve for x
    x = 2,901,653,689/34,998
  6. Step 6: Final answer
    x = 82,909.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.