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Finding the Third Proportional to 15,991 and 34,893.50

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Solution

The third proportional to 15,991 and 34,893.50 is: 76,140.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,991 : 34,893.50 = 34,893.50 : x
  2. Step 2: Convert to fraction form
    15,991/34,893.50 = 34,893.50/x
  3. Step 3: Cross multiply
    15,991x = 34,893.50 × 34,893.50
  4. Step 4: Simplify right side
    15,991x = 1,217,556,342.25
  5. Step 5: Solve for x
    x = 1,217,556,342.25/15,991
  6. Step 6: Final answer
    x = 76,140.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.