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Finding the Third Proportional to 13,045.50 and 17,475.75

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Solution

The third proportional to 13,045.50 and 17,475.75 is: 23,410.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,045.50 : 17,475.75 = 17,475.75 : x
  2. Step 2: Convert to fraction form
    13,045.50/17,475.75 = 17,475.75/x
  3. Step 3: Cross multiply
    13,045.50x = 17,475.75 × 17,475.75
  4. Step 4: Simplify right side
    13,045.50x = 305,401,838.06
  5. Step 5: Solve for x
    x = 305,401,838.06/13,045.50
  6. Step 6: Final answer
    x = 23,410.51

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.