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Finding the Third Proportional to 15,664 and 32,624

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Solution

The third proportional to 15,664 and 32,624 is: 67,947.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,664 : 32,624 = 32,624 : x
  2. Step 2: Convert to fraction form
    15,664/32,624 = 32,624/x
  3. Step 3: Cross multiply
    15,664x = 32,624 × 32,624
  4. Step 4: Simplify right side
    15,664x = 1,064,325,376
  5. Step 5: Solve for x
    x = 1,064,325,376/15,664
  6. Step 6: Final answer
    x = 67,947.23

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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.