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Finding the Third Proportional to 3,152.36 and 4,878.04

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Solution

The third proportional to 3,152.36 and 4,878.04 is: 7,548.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.36 : 4,878.04 = 4,878.04 : x
  2. Step 2: Convert to fraction form
    3,152.36/4,878.04 = 4,878.04/x
  3. Step 3: Cross multiply
    3,152.36x = 4,878.04 × 4,878.04
  4. Step 4: Simplify right side
    3,152.36x = 23,795,226.99
  5. Step 5: Solve for x
    x = 23,795,226.99/3,152.36
  6. Step 6: Final answer
    x = 7,548.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.