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Finding the Third Proportional to 4,055.06 and 5,466.23

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Solution

The third proportional to 4,055.06 and 5,466.23 is: 7,368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055.06 : 5,466.23 = 5,466.23 : x
  2. Step 2: Convert to fraction form
    4,055.06/5,466.23 = 5,466.23/x
  3. Step 3: Cross multiply
    4,055.06x = 5,466.23 × 5,466.23
  4. Step 4: Simplify right side
    4,055.06x = 29,879,718.24
  5. Step 5: Solve for x
    x = 29,879,718.24/4,055.06
  6. Step 6: Final answer
    x = 7,368.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.