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Finding the Third Proportional to 3,695.06 and 5,580.84

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Solution

The third proportional to 3,695.06 and 5,580.84 is: 8,429.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.06 : 5,580.84 = 5,580.84 : x
  2. Step 2: Convert to fraction form
    3,695.06/5,580.84 = 5,580.84/x
  3. Step 3: Cross multiply
    3,695.06x = 5,580.84 × 5,580.84
  4. Step 4: Simplify right side
    3,695.06x = 31,145,816.96
  5. Step 5: Solve for x
    x = 31,145,816.96/3,695.06
  6. Step 6: Final answer
    x = 8,429.04

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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.