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Finding the Third Proportional to 18,300.50 and 30,289

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Solution

The third proportional to 18,300.50 and 30,289 is: 50,131.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,300.50 : 30,289 = 30,289 : x
  2. Step 2: Convert to fraction form
    18,300.50/30,289 = 30,289/x
  3. Step 3: Cross multiply
    18,300.50x = 30,289 × 30,289
  4. Step 4: Simplify right side
    18,300.50x = 917,423,521
  5. Step 5: Solve for x
    x = 917,423,521/18,300.50
  6. Step 6: Final answer
    x = 50,131.06

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.