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Finding the Third Proportional to 26,851.50 and 31,023

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Solution

The third proportional to 26,851.50 and 31,023 is: 35,842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,851.50 : 31,023 = 31,023 : x
  2. Step 2: Convert to fraction form
    26,851.50/31,023 = 31,023/x
  3. Step 3: Cross multiply
    26,851.50x = 31,023 × 31,023
  4. Step 4: Simplify right side
    26,851.50x = 962,426,529
  5. Step 5: Solve for x
    x = 962,426,529/26,851.50
  6. Step 6: Final answer
    x = 35,842.56

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.