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Finding the Third Proportional to 13,155 and 19,867.50

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Solution

The third proportional to 13,155 and 19,867.50 is: 30,005.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,155 : 19,867.50 = 19,867.50 : x
  2. Step 2: Convert to fraction form
    13,155/19,867.50 = 19,867.50/x
  3. Step 3: Cross multiply
    13,155x = 19,867.50 × 19,867.50
  4. Step 4: Simplify right side
    13,155x = 394,717,556.25
  5. Step 5: Solve for x
    x = 394,717,556.25/13,155
  6. Step 6: Final answer
    x = 30,005.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.