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Finding the Third Proportional to 9,657 and 21,057

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Solution

The third proportional to 9,657 and 21,057 is: 45,914.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657 : 21,057 = 21,057 : x
  2. Step 2: Convert to fraction form
    9,657/21,057 = 21,057/x
  3. Step 3: Cross multiply
    9,657x = 21,057 × 21,057
  4. Step 4: Simplify right side
    9,657x = 443,397,249
  5. Step 5: Solve for x
    x = 443,397,249/9,657
  6. Step 6: Final answer
    x = 45,914.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.