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Finding the Third Proportional to 13,159 and 17,072.50

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Solution

The third proportional to 13,159 and 17,072.50 is: 22,149.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159 : 17,072.50 = 17,072.50 : x
  2. Step 2: Convert to fraction form
    13,159/17,072.50 = 17,072.50/x
  3. Step 3: Cross multiply
    13,159x = 17,072.50 × 17,072.50
  4. Step 4: Simplify right side
    13,159x = 291,470,256.25
  5. Step 5: Solve for x
    x = 291,470,256.25/13,159
  6. Step 6: Final answer
    x = 22,149.88

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.