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Finding the Third Proportional to 23,228.63 and 36,914.63

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Solution

The third proportional to 23,228.63 and 36,914.63 is: 58,664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,228.63 : 36,914.63 = 36,914.63 : x
  2. Step 2: Convert to fraction form
    23,228.63/36,914.63 = 36,914.63/x
  3. Step 3: Cross multiply
    23,228.63x = 36,914.63 × 36,914.63
  4. Step 4: Simplify right side
    23,228.63x = 1,362,689,538.89
  5. Step 5: Solve for x
    x = 1,362,689,538.89/23,228.63
  6. Step 6: Final answer
    x = 58,664.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.