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Finding the Third Proportional to 4,693.50 and 6,561.75

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Solution

The third proportional to 4,693.50 and 6,561.75 is: 9,173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.50 : 6,561.75 = 6,561.75 : x
  2. Step 2: Convert to fraction form
    4,693.50/6,561.75 = 6,561.75/x
  3. Step 3: Cross multiply
    4,693.50x = 6,561.75 × 6,561.75
  4. Step 4: Simplify right side
    4,693.50x = 43,056,563.06
  5. Step 5: Solve for x
    x = 43,056,563.06/4,693.50
  6. Step 6: Final answer
    x = 9,173.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.