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Finding the Third Proportional to 5,403.38 and 7,946.44

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Solution

The third proportional to 5,403.38 and 7,946.44 is: 11,686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403.38 : 7,946.44 = 7,946.44 : x
  2. Step 2: Convert to fraction form
    5,403.38/7,946.44 = 7,946.44/x
  3. Step 3: Cross multiply
    5,403.38x = 7,946.44 × 7,946.44
  4. Step 4: Simplify right side
    5,403.38x = 63,145,868.94
  5. Step 5: Solve for x
    x = 63,145,868.94/5,403.38
  6. Step 6: Final answer
    x = 11,686.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.