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Finding the Third Proportional to 12,018 and 27,820.50

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Solution

The third proportional to 12,018 and 27,820.50 is: 64,401.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,018 : 27,820.50 = 27,820.50 : x
  2. Step 2: Convert to fraction form
    12,018/27,820.50 = 27,820.50/x
  3. Step 3: Cross multiply
    12,018x = 27,820.50 × 27,820.50
  4. Step 4: Simplify right side
    12,018x = 773,980,220.25
  5. Step 5: Solve for x
    x = 773,980,220.25/12,018
  6. Step 6: Final answer
    x = 64,401.75

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.