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Finding the Third Proportional to 1,576.76 and 2,473.66

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Solution

The third proportional to 1,576.76 and 2,473.66 is: 3,880.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.76 : 2,473.66 = 2,473.66 : x
  2. Step 2: Convert to fraction form
    1,576.76/2,473.66 = 2,473.66/x
  3. Step 3: Cross multiply
    1,576.76x = 2,473.66 × 2,473.66
  4. Step 4: Simplify right side
    1,576.76x = 6,119,013.89
  5. Step 5: Solve for x
    x = 6,119,013.89/1,576.76
  6. Step 6: Final answer
    x = 3,880.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.