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Finding the Third Proportional to 19,409 and 41,362

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Solution

The third proportional to 19,409 and 41,362 is: 88,145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,409 : 41,362 = 41,362 : x
  2. Step 2: Convert to fraction form
    19,409/41,362 = 41,362/x
  3. Step 3: Cross multiply
    19,409x = 41,362 × 41,362
  4. Step 4: Simplify right side
    19,409x = 1,710,815,044
  5. Step 5: Solve for x
    x = 1,710,815,044/19,409
  6. Step 6: Final answer
    x = 88,145.45

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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.