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Finding the Third Proportional to 13,120 and 19,062

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Solution

The third proportional to 13,120 and 19,062 is: 27,695.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,120 : 19,062 = 19,062 : x
  2. Step 2: Convert to fraction form
    13,120/19,062 = 19,062/x
  3. Step 3: Cross multiply
    13,120x = 19,062 × 19,062
  4. Step 4: Simplify right side
    13,120x = 363,359,844
  5. Step 5: Solve for x
    x = 363,359,844/13,120
  6. Step 6: Final answer
    x = 27,695.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.