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Finding the Third Proportional to 8,364 and 18,283

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Solution

The third proportional to 8,364 and 18,283 is: 39,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364 : 18,283 = 18,283 : x
  2. Step 2: Convert to fraction form
    8,364/18,283 = 18,283/x
  3. Step 3: Cross multiply
    8,364x = 18,283 × 18,283
  4. Step 4: Simplify right side
    8,364x = 334,268,089
  5. Step 5: Solve for x
    x = 334,268,089/8,364
  6. Step 6: Final answer
    x = 39,965.10

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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.