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Finding the Third Proportional to 19,566 and 38,152

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Solution

The third proportional to 19,566 and 38,152 is: 74,393.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,566 : 38,152 = 38,152 : x
  2. Step 2: Convert to fraction form
    19,566/38,152 = 38,152/x
  3. Step 3: Cross multiply
    19,566x = 38,152 × 38,152
  4. Step 4: Simplify right side
    19,566x = 1,455,575,104
  5. Step 5: Solve for x
    x = 1,455,575,104/19,566
  6. Step 6: Final answer
    x = 74,393.09

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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.