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Finding the Third Proportional to 3,857.63 and 6,810.75

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Solution

The third proportional to 3,857.63 and 6,810.75 is: 12,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.63 : 6,810.75 = 6,810.75 : x
  2. Step 2: Convert to fraction form
    3,857.63/6,810.75 = 6,810.75/x
  3. Step 3: Cross multiply
    3,857.63x = 6,810.75 × 6,810.75
  4. Step 4: Simplify right side
    3,857.63x = 46,386,315.56
  5. Step 5: Solve for x
    x = 46,386,315.56/3,857.63
  6. Step 6: Final answer
    x = 12,024.58

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.