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Finding the Third Proportional to 26,934 and 39,033

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Solution

The third proportional to 26,934 and 39,033 is: 56,566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,934 : 39,033 = 39,033 : x
  2. Step 2: Convert to fraction form
    26,934/39,033 = 39,033/x
  3. Step 3: Cross multiply
    26,934x = 39,033 × 39,033
  4. Step 4: Simplify right side
    26,934x = 1,523,575,089
  5. Step 5: Solve for x
    x = 1,523,575,089/26,934
  6. Step 6: Final answer
    x = 56,566.98

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.