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Finding the Third Proportional to 3,021.75 and 4,775.75

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Solution

The third proportional to 3,021.75 and 4,775.75 is: 7,547.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.75 : 4,775.75 = 4,775.75 : x
  2. Step 2: Convert to fraction form
    3,021.75/4,775.75 = 4,775.75/x
  3. Step 3: Cross multiply
    3,021.75x = 4,775.75 × 4,775.75
  4. Step 4: Simplify right side
    3,021.75x = 22,807,788.06
  5. Step 5: Solve for x
    x = 22,807,788.06/3,021.75
  6. Step 6: Final answer
    x = 7,547.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.