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Finding the Third Proportional to 6,466.50 and 9,697.50

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Solution

The third proportional to 6,466.50 and 9,697.50 is: 14,542.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.50 : 9,697.50 = 9,697.50 : x
  2. Step 2: Convert to fraction form
    6,466.50/9,697.50 = 9,697.50/x
  3. Step 3: Cross multiply
    6,466.50x = 9,697.50 × 9,697.50
  4. Step 4: Simplify right side
    6,466.50x = 94,041,506.25
  5. Step 5: Solve for x
    x = 94,041,506.25/6,466.50
  6. Step 6: Final answer
    x = 14,542.88

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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.