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Finding the Third Proportional to 3,486.38 and 5,610.94

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Solution

The third proportional to 3,486.38 and 5,610.94 is: 9,030.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.38 : 5,610.94 = 5,610.94 : x
  2. Step 2: Convert to fraction form
    3,486.38/5,610.94 = 5,610.94/x
  3. Step 3: Cross multiply
    3,486.38x = 5,610.94 × 5,610.94
  4. Step 4: Simplify right side
    3,486.38x = 31,482,619.63
  5. Step 5: Solve for x
    x = 31,482,619.63/3,486.38
  6. Step 6: Final answer
    x = 9,030.19

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.