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Finding the Third Proportional to 13,876.31 and 21,492.84

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Solution

The third proportional to 13,876.31 and 21,492.84 is: 33,289.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.31 : 21,492.84 = 21,492.84 : x
  2. Step 2: Convert to fraction form
    13,876.31/21,492.84 = 21,492.84/x
  3. Step 3: Cross multiply
    13,876.31x = 21,492.84 × 21,492.84
  4. Step 4: Simplify right side
    13,876.31x = 461,942,332.46
  5. Step 5: Solve for x
    x = 461,942,332.46/13,876.31
  6. Step 6: Final answer
    x = 33,289.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.