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Finding the Third Proportional to 26,852 and 63,184

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Solution

The third proportional to 26,852 and 63,184 is: 148,674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,852 : 63,184 = 63,184 : x
  2. Step 2: Convert to fraction form
    26,852/63,184 = 63,184/x
  3. Step 3: Cross multiply
    26,852x = 63,184 × 63,184
  4. Step 4: Simplify right side
    26,852x = 3,992,217,856
  5. Step 5: Solve for x
    x = 3,992,217,856/26,852
  6. Step 6: Final answer
    x = 148,674.88

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.