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Finding the Third Proportional to 15,406 and 32,660

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Solution

The third proportional to 15,406 and 32,660 is: 69,237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,406 : 32,660 = 32,660 : x
  2. Step 2: Convert to fraction form
    15,406/32,660 = 32,660/x
  3. Step 3: Cross multiply
    15,406x = 32,660 × 32,660
  4. Step 4: Simplify right side
    15,406x = 1,066,675,600
  5. Step 5: Solve for x
    x = 1,066,675,600/15,406
  6. Step 6: Final answer
    x = 69,237.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.