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Finding the Third Proportional to 2,280 and 2,484.75

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Solution

The third proportional to 2,280 and 2,484.75 is: 2,707.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280 : 2,484.75 = 2,484.75 : x
  2. Step 2: Convert to fraction form
    2,280/2,484.75 = 2,484.75/x
  3. Step 3: Cross multiply
    2,280x = 2,484.75 × 2,484.75
  4. Step 4: Simplify right side
    2,280x = 6,173,982.56
  5. Step 5: Solve for x
    x = 6,173,982.56/2,280
  6. Step 6: Final answer
    x = 2,707.89

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.