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Finding the Third Proportional to 3,020.63 and 6,496.13

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Solution

The third proportional to 3,020.63 and 6,496.13 is: 13,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.63 : 6,496.13 = 6,496.13 : x
  2. Step 2: Convert to fraction form
    3,020.63/6,496.13 = 6,496.13/x
  3. Step 3: Cross multiply
    3,020.63x = 6,496.13 × 6,496.13
  4. Step 4: Simplify right side
    3,020.63x = 42,199,640.02
  5. Step 5: Solve for x
    x = 42,199,640.02/3,020.63
  6. Step 6: Final answer
    x = 13,970.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.