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Finding the Third Proportional to 21,415.50 and 50,622.50

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Solution

The third proportional to 21,415.50 and 50,622.50 is: 119,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,415.50 : 50,622.50 = 50,622.50 : x
  2. Step 2: Convert to fraction form
    21,415.50/50,622.50 = 50,622.50/x
  3. Step 3: Cross multiply
    21,415.50x = 50,622.50 × 50,622.50
  4. Step 4: Simplify right side
    21,415.50x = 2,562,637,506.25
  5. Step 5: Solve for x
    x = 2,562,637,506.25/21,415.50
  6. Step 6: Final answer
    x = 119,662.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.