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Finding the Third Proportional to 17,139 and 26,835

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Solution

The third proportional to 17,139 and 26,835 is: 42,016.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,139 : 26,835 = 26,835 : x
  2. Step 2: Convert to fraction form
    17,139/26,835 = 26,835/x
  3. Step 3: Cross multiply
    17,139x = 26,835 × 26,835
  4. Step 4: Simplify right side
    17,139x = 720,117,225
  5. Step 5: Solve for x
    x = 720,117,225/17,139
  6. Step 6: Final answer
    x = 42,016.29

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.