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Finding the Third Proportional to 44,709.75 and 66,295.50

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Solution

The third proportional to 44,709.75 and 66,295.50 is: 98,302.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,709.75 : 66,295.50 = 66,295.50 : x
  2. Step 2: Convert to fraction form
    44,709.75/66,295.50 = 66,295.50/x
  3. Step 3: Cross multiply
    44,709.75x = 66,295.50 × 66,295.50
  4. Step 4: Simplify right side
    44,709.75x = 4,395,093,320.25
  5. Step 5: Solve for x
    x = 4,395,093,320.25/44,709.75
  6. Step 6: Final answer
    x = 98,302.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.