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Finding the Third Proportional to 22,558.50 and 45,664.59

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Solution

The third proportional to 22,558.50 and 45,664.59 is: 92,437.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,558.50 : 45,664.59 = 45,664.59 : x
  2. Step 2: Convert to fraction form
    22,558.50/45,664.59 = 45,664.59/x
  3. Step 3: Cross multiply
    22,558.50x = 45,664.59 × 45,664.59
  4. Step 4: Simplify right side
    22,558.50x = 2,085,255,122.35
  5. Step 5: Solve for x
    x = 2,085,255,122.35/22,558.50
  6. Step 6: Final answer
    x = 92,437.67

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.