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Finding the Third Proportional to 26,511 and 38,971

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Solution

The third proportional to 26,511 and 38,971 is: 57,287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,511 : 38,971 = 38,971 : x
  2. Step 2: Convert to fraction form
    26,511/38,971 = 38,971/x
  3. Step 3: Cross multiply
    26,511x = 38,971 × 38,971
  4. Step 4: Simplify right side
    26,511x = 1,518,738,841
  5. Step 5: Solve for x
    x = 1,518,738,841/26,511
  6. Step 6: Final answer
    x = 57,287.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.