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Finding the Third Proportional to 30,223.13 and 47,845.69

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Solution

The third proportional to 30,223.13 and 47,845.69 is: 75,743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,223.13 : 47,845.69 = 47,845.69 : x
  2. Step 2: Convert to fraction form
    30,223.13/47,845.69 = 47,845.69/x
  3. Step 3: Cross multiply
    30,223.13x = 47,845.69 × 47,845.69
  4. Step 4: Simplify right side
    30,223.13x = 2,289,209,812.35
  5. Step 5: Solve for x
    x = 2,289,209,812.35/30,223.13
  6. Step 6: Final answer
    x = 75,743.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.