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Finding the Third Proportional to 3,140.44 and 4,751.16

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Solution

The third proportional to 3,140.44 and 4,751.16 is: 7,188.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.44 : 4,751.16 = 4,751.16 : x
  2. Step 2: Convert to fraction form
    3,140.44/4,751.16 = 4,751.16/x
  3. Step 3: Cross multiply
    3,140.44x = 4,751.16 × 4,751.16
  4. Step 4: Simplify right side
    3,140.44x = 22,573,485.71
  5. Step 5: Solve for x
    x = 22,573,485.71/3,140.44
  6. Step 6: Final answer
    x = 7,188.01

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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.