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Finding the Third Proportional to 7,388.30 and 11,055.66

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Solution

The third proportional to 7,388.30 and 11,055.66 is: 16,543.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,388.30 : 11,055.66 = 11,055.66 : x
  2. Step 2: Convert to fraction form
    7,388.30/11,055.66 = 11,055.66/x
  3. Step 3: Cross multiply
    7,388.30x = 11,055.66 × 11,055.66
  4. Step 4: Simplify right side
    7,388.30x = 122,227,535.12
  5. Step 5: Solve for x
    x = 122,227,535.12/7,388.30
  6. Step 6: Final answer
    x = 16,543.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.