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Finding the Third Proportional to 5,700 and 11,683

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Solution

The third proportional to 5,700 and 11,683 is: 23,946.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700 : 11,683 = 11,683 : x
  2. Step 2: Convert to fraction form
    5,700/11,683 = 11,683/x
  3. Step 3: Cross multiply
    5,700x = 11,683 × 11,683
  4. Step 4: Simplify right side
    5,700x = 136,492,489
  5. Step 5: Solve for x
    x = 136,492,489/5,700
  6. Step 6: Final answer
    x = 23,946.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.