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Finding the Third Proportional to 6,523.88 and 14,225.63

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Solution

The third proportional to 6,523.88 and 14,225.63 is: 31,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.88 : 14,225.63 = 14,225.63 : x
  2. Step 2: Convert to fraction form
    6,523.88/14,225.63 = 14,225.63/x
  3. Step 3: Cross multiply
    6,523.88x = 14,225.63 × 14,225.63
  4. Step 4: Simplify right side
    6,523.88x = 202,368,406.64
  5. Step 5: Solve for x
    x = 202,368,406.64/6,523.88
  6. Step 6: Final answer
    x = 31,019.66

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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.