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Finding the Third Proportional to 3,589.13 and 7,697.63

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Solution

The third proportional to 3,589.13 and 7,697.63 is: 16,509.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.13 : 7,697.63 = 7,697.63 : x
  2. Step 2: Convert to fraction form
    3,589.13/7,697.63 = 7,697.63/x
  3. Step 3: Cross multiply
    3,589.13x = 7,697.63 × 7,697.63
  4. Step 4: Simplify right side
    3,589.13x = 59,253,430.64
  5. Step 5: Solve for x
    x = 59,253,430.64/3,589.13
  6. Step 6: Final answer
    x = 16,509.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.