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Finding the Third Proportional to 38,030 and 88,855

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Solution

The third proportional to 38,030 and 88,855 is: 207,604.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,030 : 88,855 = 88,855 : x
  2. Step 2: Convert to fraction form
    38,030/88,855 = 88,855/x
  3. Step 3: Cross multiply
    38,030x = 88,855 × 88,855
  4. Step 4: Simplify right side
    38,030x = 7,895,211,025
  5. Step 5: Solve for x
    x = 7,895,211,025/38,030
  6. Step 6: Final answer
    x = 207,604.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.