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Finding the Third Proportional to 14,314.22 and 28,036.13

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Solution

The third proportional to 14,314.22 and 28,036.13 is: 54,912.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.22 : 28,036.13 = 28,036.13 : x
  2. Step 2: Convert to fraction form
    14,314.22/28,036.13 = 28,036.13/x
  3. Step 3: Cross multiply
    14,314.22x = 28,036.13 × 28,036.13
  4. Step 4: Simplify right side
    14,314.22x = 786,024,305.02
  5. Step 5: Solve for x
    x = 786,024,305.02/14,314.22
  6. Step 6: Final answer
    x = 54,912.13

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.