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Finding the Third Proportional to 6,627 and 14,422.88

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Solution

The third proportional to 6,627 and 14,422.88 is: 31,389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627 : 14,422.88 = 14,422.88 : x
  2. Step 2: Convert to fraction form
    6,627/14,422.88 = 14,422.88/x
  3. Step 3: Cross multiply
    6,627x = 14,422.88 × 14,422.88
  4. Step 4: Simplify right side
    6,627x = 208,019,323.27
  5. Step 5: Solve for x
    x = 208,019,323.27/6,627
  6. Step 6: Final answer
    x = 31,389.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.