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Finding the Third Proportional to 22,761 and 36,661.50

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Solution

The third proportional to 22,761 and 36,661.50 is: 59,051.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,761 : 36,661.50 = 36,661.50 : x
  2. Step 2: Convert to fraction form
    22,761/36,661.50 = 36,661.50/x
  3. Step 3: Cross multiply
    22,761x = 36,661.50 × 36,661.50
  4. Step 4: Simplify right side
    22,761x = 1,344,065,582.25
  5. Step 5: Solve for x
    x = 1,344,065,582.25/22,761
  6. Step 6: Final answer
    x = 59,051.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.