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Finding the Third Proportional to 18,507 and 27,682.50

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Solution

The third proportional to 18,507 and 27,682.50 is: 41,407.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,507 : 27,682.50 = 27,682.50 : x
  2. Step 2: Convert to fraction form
    18,507/27,682.50 = 27,682.50/x
  3. Step 3: Cross multiply
    18,507x = 27,682.50 × 27,682.50
  4. Step 4: Simplify right side
    18,507x = 766,320,806.25
  5. Step 5: Solve for x
    x = 766,320,806.25/18,507
  6. Step 6: Final answer
    x = 41,407.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.