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Finding the Third Proportional to 13,972.50 and 27,492.75

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Solution

The third proportional to 13,972.50 and 27,492.75 is: 54,095.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972.50 : 27,492.75 = 27,492.75 : x
  2. Step 2: Convert to fraction form
    13,972.50/27,492.75 = 27,492.75/x
  3. Step 3: Cross multiply
    13,972.50x = 27,492.75 × 27,492.75
  4. Step 4: Simplify right side
    13,972.50x = 755,851,302.56
  5. Step 5: Solve for x
    x = 755,851,302.56/13,972.50
  6. Step 6: Final answer
    x = 54,095.64

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.