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Finding the Third Proportional to 9,261 and 18,055.88

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Solution

The third proportional to 9,261 and 18,055.88 is: 35,202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261 : 18,055.88 = 18,055.88 : x
  2. Step 2: Convert to fraction form
    9,261/18,055.88 = 18,055.88/x
  3. Step 3: Cross multiply
    9,261x = 18,055.88 × 18,055.88
  4. Step 4: Simplify right side
    9,261x = 326,014,622.02
  5. Step 5: Solve for x
    x = 326,014,622.02/9,261
  6. Step 6: Final answer
    x = 35,202.96

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.