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Finding the Third Proportional to 2,434.50 and 3,765.66

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Solution

The third proportional to 2,434.50 and 3,765.66 is: 5,824.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.50 : 3,765.66 = 3,765.66 : x
  2. Step 2: Convert to fraction form
    2,434.50/3,765.66 = 3,765.66/x
  3. Step 3: Cross multiply
    2,434.50x = 3,765.66 × 3,765.66
  4. Step 4: Simplify right side
    2,434.50x = 14,180,166.99
  5. Step 5: Solve for x
    x = 14,180,166.99/2,434.50
  6. Step 6: Final answer
    x = 5,824.67

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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.