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Finding the Third Proportional to 35,406 and 55,263

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Solution

The third proportional to 35,406 and 55,263 is: 86,256.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,406 : 55,263 = 55,263 : x
  2. Step 2: Convert to fraction form
    35,406/55,263 = 55,263/x
  3. Step 3: Cross multiply
    35,406x = 55,263 × 55,263
  4. Step 4: Simplify right side
    35,406x = 3,053,999,169
  5. Step 5: Solve for x
    x = 3,053,999,169/35,406
  6. Step 6: Final answer
    x = 86,256.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.