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Finding the Third Proportional to 2,453.73 and 2,810.64

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Solution

The third proportional to 2,453.73 and 2,810.64 is: 3,219.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.73 : 2,810.64 = 2,810.64 : x
  2. Step 2: Convert to fraction form
    2,453.73/2,810.64 = 2,810.64/x
  3. Step 3: Cross multiply
    2,453.73x = 2,810.64 × 2,810.64
  4. Step 4: Simplify right side
    2,453.73x = 7,899,678.76
  5. Step 5: Solve for x
    x = 7,899,678.76/2,453.73
  6. Step 6: Final answer
    x = 3,219.46

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.