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Finding the Third Proportional to 13,429.13 and 14,644.13

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Solution

The third proportional to 13,429.13 and 14,644.13 is: 15,969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429.13 : 14,644.13 = 14,644.13 : x
  2. Step 2: Convert to fraction form
    13,429.13/14,644.13 = 14,644.13/x
  3. Step 3: Cross multiply
    13,429.13x = 14,644.13 × 14,644.13
  4. Step 4: Simplify right side
    13,429.13x = 214,450,397.02
  5. Step 5: Solve for x
    x = 214,450,397.02/13,429.13
  6. Step 6: Final answer
    x = 15,969.05

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.