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Finding the Third Proportional to 6,312.56 and 13,277.81

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Solution

The third proportional to 6,312.56 and 13,277.81 is: 27,928.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.56 : 13,277.81 = 13,277.81 : x
  2. Step 2: Convert to fraction form
    6,312.56/13,277.81 = 13,277.81/x
  3. Step 3: Cross multiply
    6,312.56x = 13,277.81 × 13,277.81
  4. Step 4: Simplify right side
    6,312.56x = 176,300,304.79
  5. Step 5: Solve for x
    x = 176,300,304.79/6,312.56
  6. Step 6: Final answer
    x = 27,928.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.