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Finding the Third Proportional to 19,924 and 43,580

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Solution

The third proportional to 19,924 and 43,580 is: 95,323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,924 : 43,580 = 43,580 : x
  2. Step 2: Convert to fraction form
    19,924/43,580 = 43,580/x
  3. Step 3: Cross multiply
    19,924x = 43,580 × 43,580
  4. Step 4: Simplify right side
    19,924x = 1,899,216,400
  5. Step 5: Solve for x
    x = 1,899,216,400/19,924
  6. Step 6: Final answer
    x = 95,323.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.