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Finding the Third Proportional to 13,806 and 22,803.75

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Solution

The third proportional to 13,806 and 22,803.75 is: 37,665.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806 : 22,803.75 = 22,803.75 : x
  2. Step 2: Convert to fraction form
    13,806/22,803.75 = 22,803.75/x
  3. Step 3: Cross multiply
    13,806x = 22,803.75 × 22,803.75
  4. Step 4: Simplify right side
    13,806x = 520,011,014.06
  5. Step 5: Solve for x
    x = 520,011,014.06/13,806
  6. Step 6: Final answer
    x = 37,665.58

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.