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Finding the Third Proportional to 19,567 and 38,153

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Solution

The third proportional to 19,567 and 38,153 is: 74,393.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,567 : 38,153 = 38,153 : x
  2. Step 2: Convert to fraction form
    19,567/38,153 = 38,153/x
  3. Step 3: Cross multiply
    19,567x = 38,153 × 38,153
  4. Step 4: Simplify right side
    19,567x = 1,455,651,409
  5. Step 5: Solve for x
    x = 1,455,651,409/19,567
  6. Step 6: Final answer
    x = 74,393.18

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.