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Finding the Third Proportional to 1,376.63 and 3,001.31

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Solution

The third proportional to 1,376.63 and 3,001.31 is: 6,543.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.63 : 3,001.31 = 3,001.31 : x
  2. Step 2: Convert to fraction form
    1,376.63/3,001.31 = 3,001.31/x
  3. Step 3: Cross multiply
    1,376.63x = 3,001.31 × 3,001.31
  4. Step 4: Simplify right side
    1,376.63x = 9,007,876.72
  5. Step 5: Solve for x
    x = 9,007,876.72/1,376.63
  6. Step 6: Final answer
    x = 6,543.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.