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Finding the Third Proportional to 4,303.85 and 6,650.40

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Solution

The third proportional to 4,303.85 and 6,650.40 is: 10,276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.85 : 6,650.40 = 6,650.40 : x
  2. Step 2: Convert to fraction form
    4,303.85/6,650.40 = 6,650.40/x
  3. Step 3: Cross multiply
    4,303.85x = 6,650.40 × 6,650.40
  4. Step 4: Simplify right side
    4,303.85x = 44,227,831.24
  5. Step 5: Solve for x
    x = 44,227,831.24/4,303.85
  6. Step 6: Final answer
    x = 10,276.33

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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.