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Finding the Third Proportional to 36,009.56 and 47,783.67

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Solution

The third proportional to 36,009.56 and 47,783.67 is: 63,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,009.56 : 47,783.67 = 47,783.67 : x
  2. Step 2: Convert to fraction form
    36,009.56/47,783.67 = 47,783.67/x
  3. Step 3: Cross multiply
    36,009.56x = 47,783.67 × 47,783.67
  4. Step 4: Simplify right side
    36,009.56x = 2,283,279,297.86
  5. Step 5: Solve for x
    x = 2,283,279,297.86/36,009.56
  6. Step 6: Final answer
    x = 63,407.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.