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Finding the Third Proportional to 2,814.75 and 4,133.53

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Solution

The third proportional to 2,814.75 and 4,133.53 is: 6,070.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.75 : 4,133.53 = 4,133.53 : x
  2. Step 2: Convert to fraction form
    2,814.75/4,133.53 = 4,133.53/x
  3. Step 3: Cross multiply
    2,814.75x = 4,133.53 × 4,133.53
  4. Step 4: Simplify right side
    2,814.75x = 17,086,080.59
  5. Step 5: Solve for x
    x = 17,086,080.59/2,814.75
  6. Step 6: Final answer
    x = 6,070.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.