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Finding the Third Proportional to 8,283 and 18,113

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Solution

The third proportional to 8,283 and 18,113 is: 39,608.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283 : 18,113 = 18,113 : x
  2. Step 2: Convert to fraction form
    8,283/18,113 = 18,113/x
  3. Step 3: Cross multiply
    8,283x = 18,113 × 18,113
  4. Step 4: Simplify right side
    8,283x = 328,080,769
  5. Step 5: Solve for x
    x = 328,080,769/8,283
  6. Step 6: Final answer
    x = 39,608.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.