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Finding the Third Proportional to 18,783 and 27,607.50

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Solution

The third proportional to 18,783 and 27,607.50 is: 40,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,783 : 27,607.50 = 27,607.50 : x
  2. Step 2: Convert to fraction form
    18,783/27,607.50 = 27,607.50/x
  3. Step 3: Cross multiply
    18,783x = 27,607.50 × 27,607.50
  4. Step 4: Simplify right side
    18,783x = 762,174,056.25
  5. Step 5: Solve for x
    x = 762,174,056.25/18,783
  6. Step 6: Final answer
    x = 40,577.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.