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Finding the Third Proportional to 36,000.07 and 49,438.16

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Solution

The third proportional to 36,000.07 and 49,438.16 is: 67,892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,000.07 : 49,438.16 = 49,438.16 : x
  2. Step 2: Convert to fraction form
    36,000.07/49,438.16 = 49,438.16/x
  3. Step 3: Cross multiply
    36,000.07x = 49,438.16 × 49,438.16
  4. Step 4: Simplify right side
    36,000.07x = 2,444,131,679.64
  5. Step 5: Solve for x
    x = 2,444,131,679.64/36,000.07
  6. Step 6: Final answer
    x = 67,892.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.