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Finding the Third Proportional to 11,412 and 19,260

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Solution

The third proportional to 11,412 and 19,260 is: 32,505.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412 : 19,260 = 19,260 : x
  2. Step 2: Convert to fraction form
    11,412/19,260 = 19,260/x
  3. Step 3: Cross multiply
    11,412x = 19,260 × 19,260
  4. Step 4: Simplify right side
    11,412x = 370,947,600
  5. Step 5: Solve for x
    x = 370,947,600/11,412
  6. Step 6: Final answer
    x = 32,505.05

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.