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Finding the Third Proportional to 3,616.52 and 5,598.49

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Solution

The third proportional to 3,616.52 and 5,598.49 is: 8,666.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.52 : 5,598.49 = 5,598.49 : x
  2. Step 2: Convert to fraction form
    3,616.52/5,598.49 = 5,598.49/x
  3. Step 3: Cross multiply
    3,616.52x = 5,598.49 × 5,598.49
  4. Step 4: Simplify right side
    3,616.52x = 31,343,114.77
  5. Step 5: Solve for x
    x = 31,343,114.77/3,616.52
  6. Step 6: Final answer
    x = 8,666.64

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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.