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Finding the Third Proportional to 6,523 and 16,083

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Solution

The third proportional to 6,523 and 16,083 is: 39,653.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523 : 16,083 = 16,083 : x
  2. Step 2: Convert to fraction form
    6,523/16,083 = 16,083/x
  3. Step 3: Cross multiply
    6,523x = 16,083 × 16,083
  4. Step 4: Simplify right side
    6,523x = 258,662,889
  5. Step 5: Solve for x
    x = 258,662,889/6,523
  6. Step 6: Final answer
    x = 39,653.98

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.