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Finding the Third Proportional to 35,097 and 53,919

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Solution

The third proportional to 35,097 and 53,919 is: 82,834.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,097 : 53,919 = 53,919 : x
  2. Step 2: Convert to fraction form
    35,097/53,919 = 53,919/x
  3. Step 3: Cross multiply
    35,097x = 53,919 × 53,919
  4. Step 4: Simplify right side
    35,097x = 2,907,258,561
  5. Step 5: Solve for x
    x = 2,907,258,561/35,097
  6. Step 6: Final answer
    x = 82,834.96

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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.