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Finding the Third Proportional to 26,720 and 39,304

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Solution

The third proportional to 26,720 and 39,304 is: 57,814.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,720 : 39,304 = 39,304 : x
  2. Step 2: Convert to fraction form
    26,720/39,304 = 39,304/x
  3. Step 3: Cross multiply
    26,720x = 39,304 × 39,304
  4. Step 4: Simplify right side
    26,720x = 1,544,804,416
  5. Step 5: Solve for x
    x = 1,544,804,416/26,720
  6. Step 6: Final answer
    x = 57,814.54

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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.