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Finding the Third Proportional to 3,461.63 and 7,415.44

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Solution

The third proportional to 3,461.63 and 7,415.44 is: 15,885.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.63 : 7,415.44 = 7,415.44 : x
  2. Step 2: Convert to fraction form
    3,461.63/7,415.44 = 7,415.44/x
  3. Step 3: Cross multiply
    3,461.63x = 7,415.44 × 7,415.44
  4. Step 4: Simplify right side
    3,461.63x = 54,988,713.32
  5. Step 5: Solve for x
    x = 54,988,713.32/3,461.63
  6. Step 6: Final answer
    x = 15,885.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.