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Finding the Third Proportional to 11,464 and 18,164

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Solution

The third proportional to 11,464 and 18,164 is: 28,779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464 : 18,164 = 18,164 : x
  2. Step 2: Convert to fraction form
    11,464/18,164 = 18,164/x
  3. Step 3: Cross multiply
    11,464x = 18,164 × 18,164
  4. Step 4: Simplify right side
    11,464x = 329,930,896
  5. Step 5: Solve for x
    x = 329,930,896/11,464
  6. Step 6: Final answer
    x = 28,779.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.