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Finding the Third Proportional to 13,050 and 19,757

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Solution

The third proportional to 13,050 and 19,757 is: 29,911.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,050 : 19,757 = 19,757 : x
  2. Step 2: Convert to fraction form
    13,050/19,757 = 19,757/x
  3. Step 3: Cross multiply
    13,050x = 19,757 × 19,757
  4. Step 4: Simplify right side
    13,050x = 390,339,049
  5. Step 5: Solve for x
    x = 390,339,049/13,050
  6. Step 6: Final answer
    x = 29,911.04

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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.