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Finding the Third Proportional to 9,657 and 16,771.50

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Solution

The third proportional to 9,657 and 16,771.50 is: 29,127.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657 : 16,771.50 = 16,771.50 : x
  2. Step 2: Convert to fraction form
    9,657/16,771.50 = 16,771.50/x
  3. Step 3: Cross multiply
    9,657x = 16,771.50 × 16,771.50
  4. Step 4: Simplify right side
    9,657x = 281,283,212.25
  5. Step 5: Solve for x
    x = 281,283,212.25/9,657
  6. Step 6: Final answer
    x = 29,127.39

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.