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Finding the Third Proportional to 19,863 and 32,607

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Solution

The third proportional to 19,863 and 32,607 is: 53,527.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,863 : 32,607 = 32,607 : x
  2. Step 2: Convert to fraction form
    19,863/32,607 = 32,607/x
  3. Step 3: Cross multiply
    19,863x = 32,607 × 32,607
  4. Step 4: Simplify right side
    19,863x = 1,063,216,449
  5. Step 5: Solve for x
    x = 1,063,216,449/19,863
  6. Step 6: Final answer
    x = 53,527.49

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.