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Finding the Third Proportional to 13,130 and 19,649

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Solution

The third proportional to 13,130 and 19,649 is: 29,404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130 : 19,649 = 19,649 : x
  2. Step 2: Convert to fraction form
    13,130/19,649 = 19,649/x
  3. Step 3: Cross multiply
    13,130x = 19,649 × 19,649
  4. Step 4: Simplify right side
    13,130x = 386,083,201
  5. Step 5: Solve for x
    x = 386,083,201/13,130
  6. Step 6: Final answer
    x = 29,404.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.