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Finding the Third Proportional to 18,468 and 27,914.63

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Solution

The third proportional to 18,468 and 27,914.63 is: 42,193.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,468 : 27,914.63 = 27,914.63 : x
  2. Step 2: Convert to fraction form
    18,468/27,914.63 = 27,914.63/x
  3. Step 3: Cross multiply
    18,468x = 27,914.63 × 27,914.63
  4. Step 4: Simplify right side
    18,468x = 779,226,288.89
  5. Step 5: Solve for x
    x = 779,226,288.89/18,468
  6. Step 6: Final answer
    x = 42,193.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.