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Finding the Third Proportional to 44,033.50 and 68,210.50

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Solution

The third proportional to 44,033.50 and 68,210.50 is: 105,662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,033.50 : 68,210.50 = 68,210.50 : x
  2. Step 2: Convert to fraction form
    44,033.50/68,210.50 = 68,210.50/x
  3. Step 3: Cross multiply
    44,033.50x = 68,210.50 × 68,210.50
  4. Step 4: Simplify right side
    44,033.50x = 4,652,672,310.25
  5. Step 5: Solve for x
    x = 4,652,672,310.25/44,033.50
  6. Step 6: Final answer
    x = 105,662.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.