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Finding the Third Proportional to 5,228.30 and 7,893.70

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Solution

The third proportional to 5,228.30 and 7,893.70 is: 11,917.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.30 : 7,893.70 = 7,893.70 : x
  2. Step 2: Convert to fraction form
    5,228.30/7,893.70 = 7,893.70/x
  3. Step 3: Cross multiply
    5,228.30x = 7,893.70 × 7,893.70
  4. Step 4: Simplify right side
    5,228.30x = 62,310,549.03
  5. Step 5: Solve for x
    x = 62,310,549.03/5,228.30
  6. Step 6: Final answer
    x = 11,917.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.