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Finding the Third Proportional to 13,137.75 and 28,830.38

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Solution

The third proportional to 13,137.75 and 28,830.38 is: 63,267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137.75 : 28,830.38 = 28,830.38 : x
  2. Step 2: Convert to fraction form
    13,137.75/28,830.38 = 28,830.38/x
  3. Step 3: Cross multiply
    13,137.75x = 28,830.38 × 28,830.38
  4. Step 4: Simplify right side
    13,137.75x = 831,190,522.64
  5. Step 5: Solve for x
    x = 831,190,522.64/13,137.75
  6. Step 6: Final answer
    x = 63,267.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.