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Finding the Third Proportional to 6,449.88 and 13,973.13

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Solution

The third proportional to 6,449.88 and 13,973.13 is: 30,271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.88 : 13,973.13 = 13,973.13 : x
  2. Step 2: Convert to fraction form
    6,449.88/13,973.13 = 13,973.13/x
  3. Step 3: Cross multiply
    6,449.88x = 13,973.13 × 13,973.13
  4. Step 4: Simplify right side
    6,449.88x = 195,248,222.27
  5. Step 5: Solve for x
    x = 195,248,222.27/6,449.88
  6. Step 6: Final answer
    x = 30,271.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.