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Finding the Third Proportional to 2,735.65 and 4,671.11

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Solution

The third proportional to 2,735.65 and 4,671.11 is: 7,975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.65 : 4,671.11 = 4,671.11 : x
  2. Step 2: Convert to fraction form
    2,735.65/4,671.11 = 4,671.11/x
  3. Step 3: Cross multiply
    2,735.65x = 4,671.11 × 4,671.11
  4. Step 4: Simplify right side
    2,735.65x = 21,819,226.30
  5. Step 5: Solve for x
    x = 21,819,226.30/2,735.65
  6. Step 6: Final answer
    x = 7,975.89

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.