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Finding the Third Proportional to 38,600 and 51,628

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Solution

The third proportional to 38,600 and 51,628 is: 69,053.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,600 : 51,628 = 51,628 : x
  2. Step 2: Convert to fraction form
    38,600/51,628 = 51,628/x
  3. Step 3: Cross multiply
    38,600x = 51,628 × 51,628
  4. Step 4: Simplify right side
    38,600x = 2,665,450,384
  5. Step 5: Solve for x
    x = 2,665,450,384/38,600
  6. Step 6: Final answer
    x = 69,053.12

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.