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Finding the Third Proportional to 30,175.13 and 44,338.13

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Solution

The third proportional to 30,175.13 and 44,338.13 is: 65,148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,175.13 : 44,338.13 = 44,338.13 : x
  2. Step 2: Convert to fraction form
    30,175.13/44,338.13 = 44,338.13/x
  3. Step 3: Cross multiply
    30,175.13x = 44,338.13 × 44,338.13
  4. Step 4: Simplify right side
    30,175.13x = 1,965,869,328.52
  5. Step 5: Solve for x
    x = 1,965,869,328.52/30,175.13
  6. Step 6: Final answer
    x = 65,148.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.