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Finding the Third Proportional to 6,635.25 and 14,515.88

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Solution

The third proportional to 6,635.25 and 14,515.88 is: 31,756.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635.25 : 14,515.88 = 14,515.88 : x
  2. Step 2: Convert to fraction form
    6,635.25/14,515.88 = 14,515.88/x
  3. Step 3: Cross multiply
    6,635.25x = 14,515.88 × 14,515.88
  4. Step 4: Simplify right side
    6,635.25x = 210,710,627.02
  5. Step 5: Solve for x
    x = 210,710,627.02/6,635.25
  6. Step 6: Final answer
    x = 31,756.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.