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Finding the Third Proportional to 38,622.66 and 59,771.67

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Solution

The third proportional to 38,622.66 and 59,771.67 is: 92,501.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,622.66 : 59,771.67 = 59,771.67 : x
  2. Step 2: Convert to fraction form
    38,622.66/59,771.67 = 59,771.67/x
  3. Step 3: Cross multiply
    38,622.66x = 59,771.67 × 59,771.67
  4. Step 4: Simplify right side
    38,622.66x = 3,572,652,758.73
  5. Step 5: Solve for x
    x = 3,572,652,758.73/38,622.66
  6. Step 6: Final answer
    x = 92,501.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.