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Finding the Third Proportional to 15,873 and 35,012

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Solution

The third proportional to 15,873 and 35,012 is: 77,228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,873 : 35,012 = 35,012 : x
  2. Step 2: Convert to fraction form
    15,873/35,012 = 35,012/x
  3. Step 3: Cross multiply
    15,873x = 35,012 × 35,012
  4. Step 4: Simplify right side
    15,873x = 1,225,840,144
  5. Step 5: Solve for x
    x = 1,225,840,144/15,873
  6. Step 6: Final answer
    x = 77,228.01

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.