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Finding the Third Proportional to 41,097 and 61,881.75

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Solution

The third proportional to 41,097 and 61,881.75 is: 93,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,097 : 61,881.75 = 61,881.75 : x
  2. Step 2: Convert to fraction form
    41,097/61,881.75 = 61,881.75/x
  3. Step 3: Cross multiply
    41,097x = 61,881.75 × 61,881.75
  4. Step 4: Simplify right side
    41,097x = 3,829,350,983.06
  5. Step 5: Solve for x
    x = 3,829,350,983.06/41,097
  6. Step 6: Final answer
    x = 93,178.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.