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Finding the Third Proportional to 38,622.75 and 51,730

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Solution

The third proportional to 38,622.75 and 51,730 is: 69,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,622.75 : 51,730 = 51,730 : x
  2. Step 2: Convert to fraction form
    38,622.75/51,730 = 51,730/x
  3. Step 3: Cross multiply
    38,622.75x = 51,730 × 51,730
  4. Step 4: Simplify right side
    38,622.75x = 2,675,992,900
  5. Step 5: Solve for x
    x = 2,675,992,900/38,622.75
  6. Step 6: Final answer
    x = 69,285.41

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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.