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Finding the Third Proportional to 35,254 and 53,998

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Solution

The third proportional to 35,254 and 53,998 is: 82,707.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,254 : 53,998 = 53,998 : x
  2. Step 2: Convert to fraction form
    35,254/53,998 = 53,998/x
  3. Step 3: Cross multiply
    35,254x = 53,998 × 53,998
  4. Step 4: Simplify right side
    35,254x = 2,915,784,004
  5. Step 5: Solve for x
    x = 2,915,784,004/35,254
  6. Step 6: Final answer
    x = 82,707.89

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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.