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Finding the Third Proportional to 30,105 and 44,722.50

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Solution

The third proportional to 30,105 and 44,722.50 is: 66,437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,105 : 44,722.50 = 44,722.50 : x
  2. Step 2: Convert to fraction form
    30,105/44,722.50 = 44,722.50/x
  3. Step 3: Cross multiply
    30,105x = 44,722.50 × 44,722.50
  4. Step 4: Simplify right side
    30,105x = 2,000,102,006.25
  5. Step 5: Solve for x
    x = 2,000,102,006.25/30,105
  6. Step 6: Final answer
    x = 66,437.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.