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Finding the Third Proportional to 15,354 and 31,671

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Solution

The third proportional to 15,354 and 31,671 is: 65,328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,354 : 31,671 = 31,671 : x
  2. Step 2: Convert to fraction form
    15,354/31,671 = 31,671/x
  3. Step 3: Cross multiply
    15,354x = 31,671 × 31,671
  4. Step 4: Simplify right side
    15,354x = 1,003,052,241
  5. Step 5: Solve for x
    x = 1,003,052,241/15,354
  6. Step 6: Final answer
    x = 65,328.40

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.