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Finding the Third Proportional to 23,683 and 36,496.50

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Solution

The third proportional to 23,683 and 36,496.50 is: 56,242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,683 : 36,496.50 = 36,496.50 : x
  2. Step 2: Convert to fraction form
    23,683/36,496.50 = 36,496.50/x
  3. Step 3: Cross multiply
    23,683x = 36,496.50 × 36,496.50
  4. Step 4: Simplify right side
    23,683x = 1,331,994,512.25
  5. Step 5: Solve for x
    x = 1,331,994,512.25/23,683
  6. Step 6: Final answer
    x = 56,242.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.