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Finding the Third Proportional to 13,915.88 and 21,522

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Solution

The third proportional to 13,915.88 and 21,522 is: 33,285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.88 : 21,522 = 21,522 : x
  2. Step 2: Convert to fraction form
    13,915.88/21,522 = 21,522/x
  3. Step 3: Cross multiply
    13,915.88x = 21,522 × 21,522
  4. Step 4: Simplify right side
    13,915.88x = 463,196,484
  5. Step 5: Solve for x
    x = 463,196,484/13,915.88
  6. Step 6: Final answer
    x = 33,285.47

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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.