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Finding the Third Proportional to 6,301.13 and 14,563.13

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Solution

The third proportional to 6,301.13 and 14,563.13 is: 33,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.13 : 14,563.13 = 14,563.13 : x
  2. Step 2: Convert to fraction form
    6,301.13/14,563.13 = 14,563.13/x
  3. Step 3: Cross multiply
    6,301.13x = 14,563.13 × 14,563.13
  4. Step 4: Simplify right side
    6,301.13x = 212,084,609.77
  5. Step 5: Solve for x
    x = 212,084,609.77/6,301.13
  6. Step 6: Final answer
    x = 33,658.21

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.