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Finding the Third Proportional to 19,760 and 29,852

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Solution

The third proportional to 19,760 and 29,852 is: 45,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,760 : 29,852 = 29,852 : x
  2. Step 2: Convert to fraction form
    19,760/29,852 = 29,852/x
  3. Step 3: Cross multiply
    19,760x = 29,852 × 29,852
  4. Step 4: Simplify right side
    19,760x = 891,141,904
  5. Step 5: Solve for x
    x = 891,141,904/19,760
  6. Step 6: Final answer
    x = 45,098.27

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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.