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Finding the Third Proportional to 35,712 and 54,936

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Solution

The third proportional to 35,712 and 54,936 is: 84,508.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,712 : 54,936 = 54,936 : x
  2. Step 2: Convert to fraction form
    35,712/54,936 = 54,936/x
  3. Step 3: Cross multiply
    35,712x = 54,936 × 54,936
  4. Step 4: Simplify right side
    35,712x = 3,017,964,096
  5. Step 5: Solve for x
    x = 3,017,964,096/35,712
  6. Step 6: Final answer
    x = 84,508.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.