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Finding the Third Proportional to 9,784.13 and 11,944.13

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Solution

The third proportional to 9,784.13 and 11,944.13 is: 14,580.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.13 : 11,944.13 = 11,944.13 : x
  2. Step 2: Convert to fraction form
    9,784.13/11,944.13 = 11,944.13/x
  3. Step 3: Cross multiply
    9,784.13x = 11,944.13 × 11,944.13
  4. Step 4: Simplify right side
    9,784.13x = 142,662,122.02
  5. Step 5: Solve for x
    x = 142,662,122.02/9,784.13
  6. Step 6: Final answer
    x = 14,580.98

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.