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Finding the Third Proportional to 19,848 and 26,343

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Solution

The third proportional to 19,848 and 26,343 is: 34,963.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,848 : 26,343 = 26,343 : x
  2. Step 2: Convert to fraction form
    19,848/26,343 = 26,343/x
  3. Step 3: Cross multiply
    19,848x = 26,343 × 26,343
  4. Step 4: Simplify right side
    19,848x = 693,953,649
  5. Step 5: Solve for x
    x = 693,953,649/19,848
  6. Step 6: Final answer
    x = 34,963.40

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.