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Finding the Third Proportional to 6,466.50 and 13,966.50

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Solution

The third proportional to 6,466.50 and 13,966.50 is: 30,165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.50 : 13,966.50 = 13,966.50 : x
  2. Step 2: Convert to fraction form
    6,466.50/13,966.50 = 13,966.50/x
  3. Step 3: Cross multiply
    6,466.50x = 13,966.50 × 13,966.50
  4. Step 4: Simplify right side
    6,466.50x = 195,063,122.25
  5. Step 5: Solve for x
    x = 195,063,122.25/6,466.50
  6. Step 6: Final answer
    x = 30,165.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.