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Finding the Third Proportional to 19,233 and 45,652.50

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Solution

The third proportional to 19,233 and 45,652.50 is: 108,363.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,233 : 45,652.50 = 45,652.50 : x
  2. Step 2: Convert to fraction form
    19,233/45,652.50 = 45,652.50/x
  3. Step 3: Cross multiply
    19,233x = 45,652.50 × 45,652.50
  4. Step 4: Simplify right side
    19,233x = 2,084,150,756.25
  5. Step 5: Solve for x
    x = 2,084,150,756.25/19,233
  6. Step 6: Final answer
    x = 108,363.27

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.