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Finding the Third Proportional to 30,594.38 and 44,708.63

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Solution

The third proportional to 30,594.38 and 44,708.63 is: 65,334.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,594.38 : 44,708.63 = 44,708.63 : x
  2. Step 2: Convert to fraction form
    30,594.38/44,708.63 = 44,708.63/x
  3. Step 3: Cross multiply
    30,594.38x = 44,708.63 × 44,708.63
  4. Step 4: Simplify right side
    30,594.38x = 1,998,861,149.39
  5. Step 5: Solve for x
    x = 1,998,861,149.39/30,594.38
  6. Step 6: Final answer
    x = 65,334.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.