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Finding the Third Proportional to 8,623.50 and 12,777.75

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Solution

The third proportional to 8,623.50 and 12,777.75 is: 18,933.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,623.50 : 12,777.75 = 12,777.75 : x
  2. Step 2: Convert to fraction form
    8,623.50/12,777.75 = 12,777.75/x
  3. Step 3: Cross multiply
    8,623.50x = 12,777.75 × 12,777.75
  4. Step 4: Simplify right side
    8,623.50x = 163,270,895.06
  5. Step 5: Solve for x
    x = 163,270,895.06/8,623.50
  6. Step 6: Final answer
    x = 18,933.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.