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Finding the Third Proportional to 35,712 and 53,892

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Solution

The third proportional to 35,712 and 53,892 is: 81,326.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,712 : 53,892 = 53,892 : x
  2. Step 2: Convert to fraction form
    35,712/53,892 = 53,892/x
  3. Step 3: Cross multiply
    35,712x = 53,892 × 53,892
  4. Step 4: Simplify right side
    35,712x = 2,904,347,664
  5. Step 5: Solve for x
    x = 2,904,347,664/35,712
  6. Step 6: Final answer
    x = 81,326.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.