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Finding the Third Proportional to 11,346.75 and 26,043.75

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Solution

The third proportional to 11,346.75 and 26,043.75 is: 59,777.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.75 : 26,043.75 = 26,043.75 : x
  2. Step 2: Convert to fraction form
    11,346.75/26,043.75 = 26,043.75/x
  3. Step 3: Cross multiply
    11,346.75x = 26,043.75 × 26,043.75
  4. Step 4: Simplify right side
    11,346.75x = 678,276,914.06
  5. Step 5: Solve for x
    x = 678,276,914.06/11,346.75
  6. Step 6: Final answer
    x = 59,777.20

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.