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Finding the Third Proportional to 15,968 and 35,140

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Solution

The third proportional to 15,968 and 35,140 is: 77,330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,968 : 35,140 = 35,140 : x
  2. Step 2: Convert to fraction form
    15,968/35,140 = 35,140/x
  3. Step 3: Cross multiply
    15,968x = 35,140 × 35,140
  4. Step 4: Simplify right side
    15,968x = 1,234,819,600
  5. Step 5: Solve for x
    x = 1,234,819,600/15,968
  6. Step 6: Final answer
    x = 77,330.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.