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Finding the Third Proportional to 22,545 and 52,015.50

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Solution

The third proportional to 22,545 and 52,015.50 is: 120,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,545 : 52,015.50 = 52,015.50 : x
  2. Step 2: Convert to fraction form
    22,545/52,015.50 = 52,015.50/x
  3. Step 3: Cross multiply
    22,545x = 52,015.50 × 52,015.50
  4. Step 4: Simplify right side
    22,545x = 2,705,612,240.25
  5. Step 5: Solve for x
    x = 2,705,612,240.25/22,545
  6. Step 6: Final answer
    x = 120,009.41

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.