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Finding the Third Proportional to 44,898 and 67,222.50

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Solution

The third proportional to 44,898 and 67,222.50 is: 100,647.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,898 : 67,222.50 = 67,222.50 : x
  2. Step 2: Convert to fraction form
    44,898/67,222.50 = 67,222.50/x
  3. Step 3: Cross multiply
    44,898x = 67,222.50 × 67,222.50
  4. Step 4: Simplify right side
    44,898x = 4,518,864,506.25
  5. Step 5: Solve for x
    x = 4,518,864,506.25/44,898
  6. Step 6: Final answer
    x = 100,647.35

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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.