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Finding the Third Proportional to 19,402 and 41,348

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Solution

The third proportional to 19,402 and 41,348 is: 88,117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,402 : 41,348 = 41,348 : x
  2. Step 2: Convert to fraction form
    19,402/41,348 = 41,348/x
  3. Step 3: Cross multiply
    19,402x = 41,348 × 41,348
  4. Step 4: Simplify right side
    19,402x = 1,709,657,104
  5. Step 5: Solve for x
    x = 1,709,657,104/19,402
  6. Step 6: Final answer
    x = 88,117.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.