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Finding the Third Proportional to 15,670 and 32,636

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Solution

The third proportional to 15,670 and 32,636 is: 67,971.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,670 : 32,636 = 32,636 : x
  2. Step 2: Convert to fraction form
    15,670/32,636 = 32,636/x
  3. Step 3: Cross multiply
    15,670x = 32,636 × 32,636
  4. Step 4: Simplify right side
    15,670x = 1,065,108,496
  5. Step 5: Solve for x
    x = 1,065,108,496/15,670
  6. Step 6: Final answer
    x = 67,971.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.