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Finding the Third Proportional to 2,945.74 and 4,529.67

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Solution

The third proportional to 2,945.74 and 4,529.67 is: 6,965.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.74 : 4,529.67 = 4,529.67 : x
  2. Step 2: Convert to fraction form
    2,945.74/4,529.67 = 4,529.67/x
  3. Step 3: Cross multiply
    2,945.74x = 4,529.67 × 4,529.67
  4. Step 4: Simplify right side
    2,945.74x = 20,517,927.30
  5. Step 5: Solve for x
    x = 20,517,927.30/2,945.74
  6. Step 6: Final answer
    x = 6,965.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.