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Finding the Third Proportional to 22,595 and 34,564.50

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Solution

The third proportional to 22,595 and 34,564.50 is: 52,874.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,595 : 34,564.50 = 34,564.50 : x
  2. Step 2: Convert to fraction form
    22,595/34,564.50 = 34,564.50/x
  3. Step 3: Cross multiply
    22,595x = 34,564.50 × 34,564.50
  4. Step 4: Simplify right side
    22,595x = 1,194,704,660.25
  5. Step 5: Solve for x
    x = 1,194,704,660.25/22,595
  6. Step 6: Final answer
    x = 52,874.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.