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Finding the Third Proportional to 6,283 and 14,511

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Solution

The third proportional to 6,283 and 14,511 is: 33,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283 : 14,511 = 14,511 : x
  2. Step 2: Convert to fraction form
    6,283/14,511 = 14,511/x
  3. Step 3: Cross multiply
    6,283x = 14,511 × 14,511
  4. Step 4: Simplify right side
    6,283x = 210,569,121
  5. Step 5: Solve for x
    x = 210,569,121/6,283
  6. Step 6: Final answer
    x = 33,514.10

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.