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Finding the Third Proportional to 35,464 and 53,933

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Solution

The third proportional to 35,464 and 53,933 is: 82,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,464 : 53,933 = 53,933 : x
  2. Step 2: Convert to fraction form
    35,464/53,933 = 53,933/x
  3. Step 3: Cross multiply
    35,464x = 53,933 × 53,933
  4. Step 4: Simplify right side
    35,464x = 2,908,768,489
  5. Step 5: Solve for x
    x = 2,908,768,489/35,464
  6. Step 6: Final answer
    x = 82,020.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.