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Finding the Third Proportional to 2,970.75 and 6,353.25

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Solution

The third proportional to 2,970.75 and 6,353.25 is: 13,587.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.75 : 6,353.25 = 6,353.25 : x
  2. Step 2: Convert to fraction form
    2,970.75/6,353.25 = 6,353.25/x
  3. Step 3: Cross multiply
    2,970.75x = 6,353.25 × 6,353.25
  4. Step 4: Simplify right side
    2,970.75x = 40,363,785.56
  5. Step 5: Solve for x
    x = 40,363,785.56/2,970.75
  6. Step 6: Final answer
    x = 13,587.07

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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.