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Finding the Third Proportional to 3,065.34 and 4,585.78

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Solution

The third proportional to 3,065.34 and 4,585.78 is: 6,860.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.34 : 4,585.78 = 4,585.78 : x
  2. Step 2: Convert to fraction form
    3,065.34/4,585.78 = 4,585.78/x
  3. Step 3: Cross multiply
    3,065.34x = 4,585.78 × 4,585.78
  4. Step 4: Simplify right side
    3,065.34x = 21,029,389.67
  5. Step 5: Solve for x
    x = 21,029,389.67/3,065.34
  6. Step 6: Final answer
    x = 6,860.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.