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Finding the Third Proportional to 1,277.96 and 1,975.32

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Solution

The third proportional to 1,277.96 and 1,975.32 is: 3,053.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.96 : 1,975.32 = 1,975.32 : x
  2. Step 2: Convert to fraction form
    1,277.96/1,975.32 = 1,975.32/x
  3. Step 3: Cross multiply
    1,277.96x = 1,975.32 × 1,975.32
  4. Step 4: Simplify right side
    1,277.96x = 3,901,905.77
  5. Step 5: Solve for x
    x = 3,901,905.77/1,277.96
  6. Step 6: Final answer
    x = 3,053.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.