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Finding the Third Proportional to 9,225 and 18,994.50

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Solution

The third proportional to 9,225 and 18,994.50 is: 39,110.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225 : 18,994.50 = 18,994.50 : x
  2. Step 2: Convert to fraction form
    9,225/18,994.50 = 18,994.50/x
  3. Step 3: Cross multiply
    9,225x = 18,994.50 × 18,994.50
  4. Step 4: Simplify right side
    9,225x = 360,791,030.25
  5. Step 5: Solve for x
    x = 360,791,030.25/9,225
  6. Step 6: Final answer
    x = 39,110.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.