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Finding the Third Proportional to 30,154.78 and 44,329.36

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Solution

The third proportional to 30,154.78 and 44,329.36 is: 65,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,154.78 : 44,329.36 = 44,329.36 : x
  2. Step 2: Convert to fraction form
    30,154.78/44,329.36 = 44,329.36/x
  3. Step 3: Cross multiply
    30,154.78x = 44,329.36 × 44,329.36
  4. Step 4: Simplify right side
    30,154.78x = 1,965,092,102.60
  5. Step 5: Solve for x
    x = 1,965,092,102.60/30,154.78
  6. Step 6: Final answer
    x = 65,166.85

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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.