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Finding the Third Proportional to 13,120 and 19,132

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Solution

The third proportional to 13,120 and 19,132 is: 27,898.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,120 : 19,132 = 19,132 : x
  2. Step 2: Convert to fraction form
    13,120/19,132 = 19,132/x
  3. Step 3: Cross multiply
    13,120x = 19,132 × 19,132
  4. Step 4: Simplify right side
    13,120x = 366,033,424
  5. Step 5: Solve for x
    x = 366,033,424/13,120
  6. Step 6: Final answer
    x = 27,898.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.