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Finding the Third Proportional to 4,606.75 and 7,206.50

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Solution

The third proportional to 4,606.75 and 7,206.50 is: 11,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.75 : 7,206.50 = 7,206.50 : x
  2. Step 2: Convert to fraction form
    4,606.75/7,206.50 = 7,206.50/x
  3. Step 3: Cross multiply
    4,606.75x = 7,206.50 × 7,206.50
  4. Step 4: Simplify right side
    4,606.75x = 51,933,642.25
  5. Step 5: Solve for x
    x = 51,933,642.25/4,606.75
  6. Step 6: Final answer
    x = 11,273.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.