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Finding the Third Proportional to 10,182 and 15,205.50

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Solution

The third proportional to 10,182 and 15,205.50 is: 22,707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182 : 15,205.50 = 15,205.50 : x
  2. Step 2: Convert to fraction form
    10,182/15,205.50 = 15,205.50/x
  3. Step 3: Cross multiply
    10,182x = 15,205.50 × 15,205.50
  4. Step 4: Simplify right side
    10,182x = 231,207,230.25
  5. Step 5: Solve for x
    x = 231,207,230.25/10,182
  6. Step 6: Final answer
    x = 22,707.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.