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Finding the Third Proportional to 30,150.38 and 63,645.38

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Solution

The third proportional to 30,150.38 and 63,645.38 is: 134,351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,150.38 : 63,645.38 = 63,645.38 : x
  2. Step 2: Convert to fraction form
    30,150.38/63,645.38 = 63,645.38/x
  3. Step 3: Cross multiply
    30,150.38x = 63,645.38 × 63,645.38
  4. Step 4: Simplify right side
    30,150.38x = 4,050,733,758.89
  5. Step 5: Solve for x
    x = 4,050,733,758.89/30,150.38
  6. Step 6: Final answer
    x = 134,351.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.