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Finding the Third Proportional to 19,234.50 and 41,205

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Solution

The third proportional to 19,234.50 and 41,205 is: 88,271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,234.50 : 41,205 = 41,205 : x
  2. Step 2: Convert to fraction form
    19,234.50/41,205 = 41,205/x
  3. Step 3: Cross multiply
    19,234.50x = 41,205 × 41,205
  4. Step 4: Simplify right side
    19,234.50x = 1,697,852,025
  5. Step 5: Solve for x
    x = 1,697,852,025/19,234.50
  6. Step 6: Final answer
    x = 88,271.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.