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Finding the Third Proportional to 5,223.44 and 10,878.88

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Solution

The third proportional to 5,223.44 and 10,878.88 is: 22,657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.44 : 10,878.88 = 10,878.88 : x
  2. Step 2: Convert to fraction form
    5,223.44/10,878.88 = 10,878.88/x
  3. Step 3: Cross multiply
    5,223.44x = 10,878.88 × 10,878.88
  4. Step 4: Simplify right side
    5,223.44x = 118,349,921.27
  5. Step 5: Solve for x
    x = 118,349,921.27/5,223.44
  6. Step 6: Final answer
    x = 22,657.48

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1.5x scale

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.