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Finding the Third Proportional to 32,683 and 50,258

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Solution

The third proportional to 32,683 and 50,258 is: 77,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,683 : 50,258 = 50,258 : x
  2. Step 2: Convert to fraction form
    32,683/50,258 = 50,258/x
  3. Step 3: Cross multiply
    32,683x = 50,258 × 50,258
  4. Step 4: Simplify right side
    32,683x = 2,525,866,564
  5. Step 5: Solve for x
    x = 2,525,866,564/32,683
  6. Step 6: Final answer
    x = 77,283.80

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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.