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Finding the Third Proportional to 4,564.75 and 6,669.25

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Solution

The third proportional to 4,564.75 and 6,669.25 is: 9,743.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.75 : 6,669.25 = 6,669.25 : x
  2. Step 2: Convert to fraction form
    4,564.75/6,669.25 = 6,669.25/x
  3. Step 3: Cross multiply
    4,564.75x = 6,669.25 × 6,669.25
  4. Step 4: Simplify right side
    4,564.75x = 44,478,895.56
  5. Step 5: Solve for x
    x = 44,478,895.56/4,564.75
  6. Step 6: Final answer
    x = 9,743.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.