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Finding the Third Proportional to 3,176.06 and 4,803.19

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Solution

The third proportional to 3,176.06 and 4,803.19 is: 7,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.06 : 4,803.19 = 4,803.19 : x
  2. Step 2: Convert to fraction form
    3,176.06/4,803.19 = 4,803.19/x
  3. Step 3: Cross multiply
    3,176.06x = 4,803.19 × 4,803.19
  4. Step 4: Simplify right side
    3,176.06x = 23,070,610.16
  5. Step 5: Solve for x
    x = 23,070,610.16/3,176.06
  6. Step 6: Final answer
    x = 7,263.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.