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Finding the Third Proportional to 2,968.13 and 6,412.13

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Solution

The third proportional to 2,968.13 and 6,412.13 is: 13,852.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.13 : 6,412.13 = 6,412.13 : x
  2. Step 2: Convert to fraction form
    2,968.13/6,412.13 = 6,412.13/x
  3. Step 3: Cross multiply
    2,968.13x = 6,412.13 × 6,412.13
  4. Step 4: Simplify right side
    2,968.13x = 41,115,347.02
  5. Step 5: Solve for x
    x = 41,115,347.02/2,968.13
  6. Step 6: Final answer
    x = 13,852.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.