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Finding the Third Proportional to 13,792.50 and 21,850.13

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Solution

The third proportional to 13,792.50 and 21,850.13 is: 34,615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.50 : 21,850.13 = 21,850.13 : x
  2. Step 2: Convert to fraction form
    13,792.50/21,850.13 = 21,850.13/x
  3. Step 3: Cross multiply
    13,792.50x = 21,850.13 × 21,850.13
  4. Step 4: Simplify right side
    13,792.50x = 477,427,962.52
  5. Step 5: Solve for x
    x = 477,427,962.52/13,792.50
  6. Step 6: Final answer
    x = 34,615.04

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.