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Finding the Third Proportional to 13,266 and 32,658

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Solution

The third proportional to 13,266 and 32,658 is: 80,396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266 : 32,658 = 32,658 : x
  2. Step 2: Convert to fraction form
    13,266/32,658 = 32,658/x
  3. Step 3: Cross multiply
    13,266x = 32,658 × 32,658
  4. Step 4: Simplify right side
    13,266x = 1,066,544,964
  5. Step 5: Solve for x
    x = 1,066,544,964/13,266
  6. Step 6: Final answer
    x = 80,396.88

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.