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Finding the Third Proportional to 13,659.75 and 19,953

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Solution

The third proportional to 13,659.75 and 19,953 is: 29,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,659.75 : 19,953 = 19,953 : x
  2. Step 2: Convert to fraction form
    13,659.75/19,953 = 19,953/x
  3. Step 3: Cross multiply
    13,659.75x = 19,953 × 19,953
  4. Step 4: Simplify right side
    13,659.75x = 398,122,209
  5. Step 5: Solve for x
    x = 398,122,209/13,659.75
  6. Step 6: Final answer
    x = 29,145.64

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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.