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Finding the Third Proportional to 13,954.78 and 32,915.11

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Solution

The third proportional to 13,954.78 and 32,915.11 is: 77,636.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.78 : 32,915.11 = 32,915.11 : x
  2. Step 2: Convert to fraction form
    13,954.78/32,915.11 = 32,915.11/x
  3. Step 3: Cross multiply
    13,954.78x = 32,915.11 × 32,915.11
  4. Step 4: Simplify right side
    13,954.78x = 1,083,404,425.17
  5. Step 5: Solve for x
    x = 1,083,404,425.17/13,954.78
  6. Step 6: Final answer
    x = 77,636.79

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.