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Finding the Third Proportional to 15,323 and 21,683

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Solution

The third proportional to 15,323 and 21,683 is: 30,682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,323 : 21,683 = 21,683 : x
  2. Step 2: Convert to fraction form
    15,323/21,683 = 21,683/x
  3. Step 3: Cross multiply
    15,323x = 21,683 × 21,683
  4. Step 4: Simplify right side
    15,323x = 470,152,489
  5. Step 5: Solve for x
    x = 470,152,489/15,323
  6. Step 6: Final answer
    x = 30,682.80

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.