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Finding the Third Proportional to 6,264.25 and 14,566.63

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Solution

The third proportional to 6,264.25 and 14,566.63 is: 33,872.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.25 : 14,566.63 = 14,566.63 : x
  2. Step 2: Convert to fraction form
    6,264.25/14,566.63 = 14,566.63/x
  3. Step 3: Cross multiply
    6,264.25x = 14,566.63 × 14,566.63
  4. Step 4: Simplify right side
    6,264.25x = 212,186,563.89
  5. Step 5: Solve for x
    x = 212,186,563.89/6,264.25
  6. Step 6: Final answer
    x = 33,872.62

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.