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Finding the Third Proportional to 6,495.75 and 14,029.88

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Solution

The third proportional to 6,495.75 and 14,029.88 is: 30,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.75 : 14,029.88 = 14,029.88 : x
  2. Step 2: Convert to fraction form
    6,495.75/14,029.88 = 14,029.88/x
  3. Step 3: Cross multiply
    6,495.75x = 14,029.88 × 14,029.88
  4. Step 4: Simplify right side
    6,495.75x = 196,837,392.52
  5. Step 5: Solve for x
    x = 196,837,392.52/6,495.75
  6. Step 6: Final answer
    x = 30,302.49

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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.