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Finding the Third Proportional to 9,639 and 14,083.50

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Solution

The third proportional to 9,639 and 14,083.50 is: 20,577.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639 : 14,083.50 = 14,083.50 : x
  2. Step 2: Convert to fraction form
    9,639/14,083.50 = 14,083.50/x
  3. Step 3: Cross multiply
    9,639x = 14,083.50 × 14,083.50
  4. Step 4: Simplify right side
    9,639x = 198,344,972.25
  5. Step 5: Solve for x
    x = 198,344,972.25/9,639
  6. Step 6: Final answer
    x = 20,577.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.