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Finding the Third Proportional to 4,378.50 and 6,571.88

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Solution

The third proportional to 4,378.50 and 6,571.88 is: 9,864.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378.50 : 6,571.88 = 6,571.88 : x
  2. Step 2: Convert to fraction form
    4,378.50/6,571.88 = 6,571.88/x
  3. Step 3: Cross multiply
    4,378.50x = 6,571.88 × 6,571.88
  4. Step 4: Simplify right side
    4,378.50x = 43,189,541.02
  5. Step 5: Solve for x
    x = 43,189,541.02/4,378.50
  6. Step 6: Final answer
    x = 9,864.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.