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Finding the Third Proportional to 38,964 and 58,446

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Solution

The third proportional to 38,964 and 58,446 is: 87,669

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,964 : 58,446 = 58,446 : x
  2. Step 2: Convert to fraction form
    38,964/58,446 = 58,446/x
  3. Step 3: Cross multiply
    38,964x = 58,446 × 58,446
  4. Step 4: Simplify right side
    38,964x = 3,415,934,916
  5. Step 5: Solve for x
    x = 3,415,934,916/38,964
  6. Step 6: Final answer
    x = 87,669

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.