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Finding the Third Proportional to 1,423.41 and 2,215.69

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Solution

The third proportional to 1,423.41 and 2,215.69 is: 3,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.41 : 2,215.69 = 2,215.69 : x
  2. Step 2: Convert to fraction form
    1,423.41/2,215.69 = 2,215.69/x
  3. Step 3: Cross multiply
    1,423.41x = 2,215.69 × 2,215.69
  4. Step 4: Simplify right side
    1,423.41x = 4,909,271.10
  5. Step 5: Solve for x
    x = 4,909,271.10/1,423.41
  6. Step 6: Final answer
    x = 3,448.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.