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Finding the Third Proportional to 4,256.63 and 6,606.38

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Solution

The third proportional to 4,256.63 and 6,606.38 is: 10,253.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256.63 : 6,606.38 = 6,606.38 : x
  2. Step 2: Convert to fraction form
    4,256.63/6,606.38 = 6,606.38/x
  3. Step 3: Cross multiply
    4,256.63x = 6,606.38 × 6,606.38
  4. Step 4: Simplify right side
    4,256.63x = 43,644,190.64
  5. Step 5: Solve for x
    x = 43,644,190.64/4,256.63
  6. Step 6: Final answer
    x = 10,253.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.