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Finding the Third Proportional to 3,521.63 and 4,923.38

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Solution

The third proportional to 3,521.63 and 4,923.38 is: 6,883.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.63 : 4,923.38 = 4,923.38 : x
  2. Step 2: Convert to fraction form
    3,521.63/4,923.38 = 4,923.38/x
  3. Step 3: Cross multiply
    3,521.63x = 4,923.38 × 4,923.38
  4. Step 4: Simplify right side
    3,521.63x = 24,239,621.39
  5. Step 5: Solve for x
    x = 24,239,621.39/3,521.63
  6. Step 6: Final answer
    x = 6,883.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.