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Finding the Third Proportional to 13,580 and 19,838

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Solution

The third proportional to 13,580 and 19,838 is: 28,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,580 : 19,838 = 19,838 : x
  2. Step 2: Convert to fraction form
    13,580/19,838 = 19,838/x
  3. Step 3: Cross multiply
    13,580x = 19,838 × 19,838
  4. Step 4: Simplify right side
    13,580x = 393,546,244
  5. Step 5: Solve for x
    x = 393,546,244/13,580
  6. Step 6: Final answer
    x = 28,979.84

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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.