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Finding the Third Proportional to 2,107.41 and 3,256.17

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Solution

The third proportional to 2,107.41 and 3,256.17 is: 5,031.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.41 : 3,256.17 = 3,256.17 : x
  2. Step 2: Convert to fraction form
    2,107.41/3,256.17 = 3,256.17/x
  3. Step 3: Cross multiply
    2,107.41x = 3,256.17 × 3,256.17
  4. Step 4: Simplify right side
    2,107.41x = 10,602,655.28
  5. Step 5: Solve for x
    x = 10,602,655.28/2,107.41
  6. Step 6: Final answer
    x = 5,031.14

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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.