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Finding the Third Proportional to 35,964 and 54,432

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Solution

The third proportional to 35,964 and 54,432 is: 82,383.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,964 : 54,432 = 54,432 : x
  2. Step 2: Convert to fraction form
    35,964/54,432 = 54,432/x
  3. Step 3: Cross multiply
    35,964x = 54,432 × 54,432
  4. Step 4: Simplify right side
    35,964x = 2,962,842,624
  5. Step 5: Solve for x
    x = 2,962,842,624/35,964
  6. Step 6: Final answer
    x = 82,383.57

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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.