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Finding the Third Proportional to 3,699 and 5,884.13

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Solution

The third proportional to 3,699 and 5,884.13 is: 9,360.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699 : 5,884.13 = 5,884.13 : x
  2. Step 2: Convert to fraction form
    3,699/5,884.13 = 5,884.13/x
  3. Step 3: Cross multiply
    3,699x = 5,884.13 × 5,884.13
  4. Step 4: Simplify right side
    3,699x = 34,622,927.02
  5. Step 5: Solve for x
    x = 34,622,927.02/3,699
  6. Step 6: Final answer
    x = 9,360.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.