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Finding the Third Proportional to 26,308 and 35,446

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Solution

The third proportional to 26,308 and 35,446 is: 47,758.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,308 : 35,446 = 35,446 : x
  2. Step 2: Convert to fraction form
    26,308/35,446 = 35,446/x
  3. Step 3: Cross multiply
    26,308x = 35,446 × 35,446
  4. Step 4: Simplify right side
    26,308x = 1,256,418,916
  5. Step 5: Solve for x
    x = 1,256,418,916/26,308
  6. Step 6: Final answer
    x = 47,758.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.