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Finding the Third Proportional to 17,630 and 42,617

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Solution

The third proportional to 17,630 and 42,617 is: 103,018.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,630 : 42,617 = 42,617 : x
  2. Step 2: Convert to fraction form
    17,630/42,617 = 42,617/x
  3. Step 3: Cross multiply
    17,630x = 42,617 × 42,617
  4. Step 4: Simplify right side
    17,630x = 1,816,208,689
  5. Step 5: Solve for x
    x = 1,816,208,689/17,630
  6. Step 6: Final answer
    x = 103,018.08

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.