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Finding the Third Proportional to 7,657 and 16,233.50

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Solution

The third proportional to 7,657 and 16,233.50 is: 34,416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657 : 16,233.50 = 16,233.50 : x
  2. Step 2: Convert to fraction form
    7,657/16,233.50 = 16,233.50/x
  3. Step 3: Cross multiply
    7,657x = 16,233.50 × 16,233.50
  4. Step 4: Simplify right side
    7,657x = 263,526,522.25
  5. Step 5: Solve for x
    x = 263,526,522.25/7,657
  6. Step 6: Final answer
    x = 34,416.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.