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Finding the Third Proportional to 12,476.44 and 18,349.69

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Solution

The third proportional to 12,476.44 and 18,349.69 is: 26,987.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,476.44 : 18,349.69 = 18,349.69 : x
  2. Step 2: Convert to fraction form
    12,476.44/18,349.69 = 18,349.69/x
  3. Step 3: Cross multiply
    12,476.44x = 18,349.69 × 18,349.69
  4. Step 4: Simplify right side
    12,476.44x = 336,711,031.35
  5. Step 5: Solve for x
    x = 336,711,031.35/12,476.44
  6. Step 6: Final answer
    x = 26,987.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.