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Finding the Third Proportional to 13,312 and 19,250

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Solution

The third proportional to 13,312 and 19,250 is: 27,836.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,312 : 19,250 = 19,250 : x
  2. Step 2: Convert to fraction form
    13,312/19,250 = 19,250/x
  3. Step 3: Cross multiply
    13,312x = 19,250 × 19,250
  4. Step 4: Simplify right side
    13,312x = 370,562,500
  5. Step 5: Solve for x
    x = 370,562,500/13,312
  6. Step 6: Final answer
    x = 27,836.73

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.