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Finding the Third Proportional to 12,159 and 19,852.50

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Solution

The third proportional to 12,159 and 19,852.50 is: 32,413.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159 : 19,852.50 = 19,852.50 : x
  2. Step 2: Convert to fraction form
    12,159/19,852.50 = 19,852.50/x
  3. Step 3: Cross multiply
    12,159x = 19,852.50 × 19,852.50
  4. Step 4: Simplify right side
    12,159x = 394,121,756.25
  5. Step 5: Solve for x
    x = 394,121,756.25/12,159
  6. Step 6: Final answer
    x = 32,413.99

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.