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Finding the Third Proportional to 3,886.10 and 6,153.79

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Solution

The third proportional to 3,886.10 and 6,153.79 is: 9,744.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.10 : 6,153.79 = 6,153.79 : x
  2. Step 2: Convert to fraction form
    3,886.10/6,153.79 = 6,153.79/x
  3. Step 3: Cross multiply
    3,886.10x = 6,153.79 × 6,153.79
  4. Step 4: Simplify right side
    3,886.10x = 37,869,071.75
  5. Step 5: Solve for x
    x = 37,869,071.75/3,886.10
  6. Step 6: Final answer
    x = 9,744.75

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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.