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Finding the Third Proportional to 15,624 and 18,036

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Solution

The third proportional to 15,624 and 18,036 is: 20,820.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,624 : 18,036 = 18,036 : x
  2. Step 2: Convert to fraction form
    15,624/18,036 = 18,036/x
  3. Step 3: Cross multiply
    15,624x = 18,036 × 18,036
  4. Step 4: Simplify right side
    15,624x = 325,297,296
  5. Step 5: Solve for x
    x = 325,297,296/15,624
  6. Step 6: Final answer
    x = 20,820.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.