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Finding the Third Proportional to 27,813.75 and 44,221.50

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Solution

The third proportional to 27,813.75 and 44,221.50 is: 70,308.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,813.75 : 44,221.50 = 44,221.50 : x
  2. Step 2: Convert to fraction form
    27,813.75/44,221.50 = 44,221.50/x
  3. Step 3: Cross multiply
    27,813.75x = 44,221.50 × 44,221.50
  4. Step 4: Simplify right side
    27,813.75x = 1,955,541,062.25
  5. Step 5: Solve for x
    x = 1,955,541,062.25/27,813.75
  6. Step 6: Final answer
    x = 70,308.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.