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Finding the Third Proportional to 6,627.52 and 14,421.23

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Solution

The third proportional to 6,627.52 and 14,421.23 is: 31,380.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.52 : 14,421.23 = 14,421.23 : x
  2. Step 2: Convert to fraction form
    6,627.52/14,421.23 = 14,421.23/x
  3. Step 3: Cross multiply
    6,627.52x = 14,421.23 × 14,421.23
  4. Step 4: Simplify right side
    6,627.52x = 207,972,000.90
  5. Step 5: Solve for x
    x = 207,972,000.90/6,627.52
  6. Step 6: Final answer
    x = 31,380.08

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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.