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Finding the Third Proportional to 3,699.84 and 5,588.16

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Solution

The third proportional to 3,699.84 and 5,588.16 is: 8,440.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.84 : 5,588.16 = 5,588.16 : x
  2. Step 2: Convert to fraction form
    3,699.84/5,588.16 = 5,588.16/x
  3. Step 3: Cross multiply
    3,699.84x = 5,588.16 × 5,588.16
  4. Step 4: Simplify right side
    3,699.84x = 31,227,490.27
  5. Step 5: Solve for x
    x = 31,227,490.27/3,699.84
  6. Step 6: Final answer
    x = 8,440.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.