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Finding the Third Proportional to 44,457 and 68,815.50

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Solution

The third proportional to 44,457 and 68,815.50 is: 106,520.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,457 : 68,815.50 = 68,815.50 : x
  2. Step 2: Convert to fraction form
    44,457/68,815.50 = 68,815.50/x
  3. Step 3: Cross multiply
    44,457x = 68,815.50 × 68,815.50
  4. Step 4: Simplify right side
    44,457x = 4,735,573,040.25
  5. Step 5: Solve for x
    x = 4,735,573,040.25/44,457
  6. Step 6: Final answer
    x = 106,520.30

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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.