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Finding the Third Proportional to 17,710 and 38,639

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Solution

The third proportional to 17,710 and 38,639 is: 84,301.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,710 : 38,639 = 38,639 : x
  2. Step 2: Convert to fraction form
    17,710/38,639 = 38,639/x
  3. Step 3: Cross multiply
    17,710x = 38,639 × 38,639
  4. Step 4: Simplify right side
    17,710x = 1,492,972,321
  5. Step 5: Solve for x
    x = 1,492,972,321/17,710
  6. Step 6: Final answer
    x = 84,301.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.