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Finding the Third Proportional to 10,083 and 14,638.50

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Solution

The third proportional to 10,083 and 14,638.50 is: 21,252.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083 : 14,638.50 = 14,638.50 : x
  2. Step 2: Convert to fraction form
    10,083/14,638.50 = 14,638.50/x
  3. Step 3: Cross multiply
    10,083x = 14,638.50 × 14,638.50
  4. Step 4: Simplify right side
    10,083x = 214,285,682.25
  5. Step 5: Solve for x
    x = 214,285,682.25/10,083
  6. Step 6: Final answer
    x = 21,252.18

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.