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Finding the Third Proportional to 15,019 and 32,221

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Solution

The third proportional to 15,019 and 32,221 is: 69,125.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,019 : 32,221 = 32,221 : x
  2. Step 2: Convert to fraction form
    15,019/32,221 = 32,221/x
  3. Step 3: Cross multiply
    15,019x = 32,221 × 32,221
  4. Step 4: Simplify right side
    15,019x = 1,038,192,841
  5. Step 5: Solve for x
    x = 1,038,192,841/15,019
  6. Step 6: Final answer
    x = 69,125.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.