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Finding the Third Proportional to 4,536.19 and 6,939.28

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Solution

The third proportional to 4,536.19 and 6,939.28 is: 10,615.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.19 : 6,939.28 = 6,939.28 : x
  2. Step 2: Convert to fraction form
    4,536.19/6,939.28 = 6,939.28/x
  3. Step 3: Cross multiply
    4,536.19x = 6,939.28 × 6,939.28
  4. Step 4: Simplify right side
    4,536.19x = 48,153,624.27
  5. Step 5: Solve for x
    x = 48,153,624.27/4,536.19
  6. Step 6: Final answer
    x = 10,615.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.