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Finding the Third Proportional to 9,657 and 14,514.75

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Solution

The third proportional to 9,657 and 14,514.75 is: 21,816.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657 : 14,514.75 = 14,514.75 : x
  2. Step 2: Convert to fraction form
    9,657/14,514.75 = 14,514.75/x
  3. Step 3: Cross multiply
    9,657x = 14,514.75 × 14,514.75
  4. Step 4: Simplify right side
    9,657x = 210,677,967.56
  5. Step 5: Solve for x
    x = 210,677,967.56/9,657
  6. Step 6: Final answer
    x = 21,816.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.