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Finding the Third Proportional to 19,444 and 40,347

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Solution

The third proportional to 19,444 and 40,347 is: 83,721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,444 : 40,347 = 40,347 : x
  2. Step 2: Convert to fraction form
    19,444/40,347 = 40,347/x
  3. Step 3: Cross multiply
    19,444x = 40,347 × 40,347
  4. Step 4: Simplify right side
    19,444x = 1,627,880,409
  5. Step 5: Solve for x
    x = 1,627,880,409/19,444
  6. Step 6: Final answer
    x = 83,721.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.