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Finding the Third Proportional to 32,938 and 51,097

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Solution

The third proportional to 32,938 and 51,097 is: 79,267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,938 : 51,097 = 51,097 : x
  2. Step 2: Convert to fraction form
    32,938/51,097 = 51,097/x
  3. Step 3: Cross multiply
    32,938x = 51,097 × 51,097
  4. Step 4: Simplify right side
    32,938x = 2,610,903,409
  5. Step 5: Solve for x
    x = 2,610,903,409/32,938
  6. Step 6: Final answer
    x = 79,267.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.