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Finding the Third Proportional to 2,909.77 and 4,610.62

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Solution

The third proportional to 2,909.77 and 4,610.62 is: 7,305.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.77 : 4,610.62 = 4,610.62 : x
  2. Step 2: Convert to fraction form
    2,909.77/4,610.62 = 4,610.62/x
  3. Step 3: Cross multiply
    2,909.77x = 4,610.62 × 4,610.62
  4. Step 4: Simplify right side
    2,909.77x = 21,257,839.25
  5. Step 5: Solve for x
    x = 21,257,839.25/2,909.77
  6. Step 6: Final answer
    x = 7,305.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.