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Finding the Third Proportional to 15,576 and 22,224

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Solution

The third proportional to 15,576 and 22,224 is: 31,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,576 : 22,224 = 22,224 : x
  2. Step 2: Convert to fraction form
    15,576/22,224 = 22,224/x
  3. Step 3: Cross multiply
    15,576x = 22,224 × 22,224
  4. Step 4: Simplify right side
    15,576x = 493,906,176
  5. Step 5: Solve for x
    x = 493,906,176/15,576
  6. Step 6: Final answer
    x = 31,709.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.