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Finding the Third Proportional to 15,934 and 35,014

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Solution

The third proportional to 15,934 and 35,014 is: 76,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,934 : 35,014 = 35,014 : x
  2. Step 2: Convert to fraction form
    15,934/35,014 = 35,014/x
  3. Step 3: Cross multiply
    15,934x = 35,014 × 35,014
  4. Step 4: Simplify right side
    15,934x = 1,225,980,196
  5. Step 5: Solve for x
    x = 1,225,980,196/15,934
  6. Step 6: Final answer
    x = 76,941.14

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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.