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Finding the Third Proportional to 3,705.75 and 5,720.63

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Solution

The third proportional to 3,705.75 and 5,720.63 is: 8,831.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.75 : 5,720.63 = 5,720.63 : x
  2. Step 2: Convert to fraction form
    3,705.75/5,720.63 = 5,720.63/x
  3. Step 3: Cross multiply
    3,705.75x = 5,720.63 × 5,720.63
  4. Step 4: Simplify right side
    3,705.75x = 32,725,550.39
  5. Step 5: Solve for x
    x = 32,725,550.39/3,705.75
  6. Step 6: Final answer
    x = 8,831.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.