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Finding the Third Proportional to 4,174.50 and 6,656.75

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Solution

The third proportional to 4,174.50 and 6,656.75 is: 10,615.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.50 : 6,656.75 = 6,656.75 : x
  2. Step 2: Convert to fraction form
    4,174.50/6,656.75 = 6,656.75/x
  3. Step 3: Cross multiply
    4,174.50x = 6,656.75 × 6,656.75
  4. Step 4: Simplify right side
    4,174.50x = 44,312,320.56
  5. Step 5: Solve for x
    x = 44,312,320.56/4,174.50
  6. Step 6: Final answer
    x = 10,615.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.