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Finding the Third Proportional to 19,215 and 41,345

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Solution

The third proportional to 19,215 and 41,345 is: 88,962.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,215 : 41,345 = 41,345 : x
  2. Step 2: Convert to fraction form
    19,215/41,345 = 41,345/x
  3. Step 3: Cross multiply
    19,215x = 41,345 × 41,345
  4. Step 4: Simplify right side
    19,215x = 1,709,409,025
  5. Step 5: Solve for x
    x = 1,709,409,025/19,215
  6. Step 6: Final answer
    x = 88,962.22

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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.