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Finding the Third Proportional to 35,238 and 53,973

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Solution

The third proportional to 35,238 and 53,973 is: 82,668.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,238 : 53,973 = 53,973 : x
  2. Step 2: Convert to fraction form
    35,238/53,973 = 53,973/x
  3. Step 3: Cross multiply
    35,238x = 53,973 × 53,973
  4. Step 4: Simplify right side
    35,238x = 2,913,084,729
  5. Step 5: Solve for x
    x = 2,913,084,729/35,238
  6. Step 6: Final answer
    x = 82,668.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.