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Finding the Third Proportional to 27,778.50 and 44,128.13

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Solution

The third proportional to 27,778.50 and 44,128.13 is: 70,100.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,778.50 : 44,128.13 = 44,128.13 : x
  2. Step 2: Convert to fraction form
    27,778.50/44,128.13 = 44,128.13/x
  3. Step 3: Cross multiply
    27,778.50x = 44,128.13 × 44,128.13
  4. Step 4: Simplify right side
    27,778.50x = 1,947,291,416.02
  5. Step 5: Solve for x
    x = 1,947,291,416.02/27,778.50
  6. Step 6: Final answer
    x = 70,100.67

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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.