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Finding the Third Proportional to 19,803 and 41,239

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Solution

The third proportional to 19,803 and 41,239 is: 85,878.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,803 : 41,239 = 41,239 : x
  2. Step 2: Convert to fraction form
    19,803/41,239 = 41,239/x
  3. Step 3: Cross multiply
    19,803x = 41,239 × 41,239
  4. Step 4: Simplify right side
    19,803x = 1,700,655,121
  5. Step 5: Solve for x
    x = 1,700,655,121/19,803
  6. Step 6: Final answer
    x = 85,878.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.