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Finding the Third Proportional to 2,921.63 and 6,258.38

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Solution

The third proportional to 2,921.63 and 6,258.38 is: 13,405.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.63 : 6,258.38 = 6,258.38 : x
  2. Step 2: Convert to fraction form
    2,921.63/6,258.38 = 6,258.38/x
  3. Step 3: Cross multiply
    2,921.63x = 6,258.38 × 6,258.38
  4. Step 4: Simplify right side
    2,921.63x = 39,167,257.64
  5. Step 5: Solve for x
    x = 39,167,257.64/2,921.63
  6. Step 6: Final answer
    x = 13,405.98

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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.