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Finding the Third Proportional to 17,303 and 37,630

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Solution

The third proportional to 17,303 and 37,630 is: 81,836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,303 : 37,630 = 37,630 : x
  2. Step 2: Convert to fraction form
    17,303/37,630 = 37,630/x
  3. Step 3: Cross multiply
    17,303x = 37,630 × 37,630
  4. Step 4: Simplify right side
    17,303x = 1,416,016,900
  5. Step 5: Solve for x
    x = 1,416,016,900/17,303
  6. Step 6: Final answer
    x = 81,836.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.