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Finding the Third Proportional to 44,953.50 and 67,348.50

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Solution

The third proportional to 44,953.50 and 67,348.50 is: 100,900.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,953.50 : 67,348.50 = 67,348.50 : x
  2. Step 2: Convert to fraction form
    44,953.50/67,348.50 = 67,348.50/x
  3. Step 3: Cross multiply
    44,953.50x = 67,348.50 × 67,348.50
  4. Step 4: Simplify right side
    44,953.50x = 4,535,820,452.25
  5. Step 5: Solve for x
    x = 4,535,820,452.25/44,953.50
  6. Step 6: Final answer
    x = 100,900.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.