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Finding the Third Proportional to 3,562.42 and 6,885.63

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Solution

The third proportional to 3,562.42 and 6,885.63 is: 13,308.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.42 : 6,885.63 = 6,885.63 : x
  2. Step 2: Convert to fraction form
    3,562.42/6,885.63 = 6,885.63/x
  3. Step 3: Cross multiply
    3,562.42x = 6,885.63 × 6,885.63
  4. Step 4: Simplify right side
    3,562.42x = 47,411,939.23
  5. Step 5: Solve for x
    x = 47,411,939.23/3,562.42
  6. Step 6: Final answer
    x = 13,308.92

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.