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Finding the Third Proportional to 30,628.13 and 65,951.72

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Solution

The third proportional to 30,628.13 and 65,951.72 is: 142,014.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,628.13 : 65,951.72 = 65,951.72 : x
  2. Step 2: Convert to fraction form
    30,628.13/65,951.72 = 65,951.72/x
  3. Step 3: Cross multiply
    30,628.13x = 65,951.72 × 65,951.72
  4. Step 4: Simplify right side
    30,628.13x = 4,349,629,206.08
  5. Step 5: Solve for x
    x = 4,349,629,206.08/30,628.13
  6. Step 6: Final answer
    x = 142,014.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.