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Finding the Third Proportional to 19,398 and 29,243

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Solution

The third proportional to 19,398 and 29,243 is: 44,084.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,398 : 29,243 = 29,243 : x
  2. Step 2: Convert to fraction form
    19,398/29,243 = 29,243/x
  3. Step 3: Cross multiply
    19,398x = 29,243 × 29,243
  4. Step 4: Simplify right side
    19,398x = 855,153,049
  5. Step 5: Solve for x
    x = 855,153,049/19,398
  6. Step 6: Final answer
    x = 44,084.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.