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Finding the Third Proportional to 35,988 and 54,306

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Solution

The third proportional to 35,988 and 54,306 is: 81,947.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,988 : 54,306 = 54,306 : x
  2. Step 2: Convert to fraction form
    35,988/54,306 = 54,306/x
  3. Step 3: Cross multiply
    35,988x = 54,306 × 54,306
  4. Step 4: Simplify right side
    35,988x = 2,949,141,636
  5. Step 5: Solve for x
    x = 2,949,141,636/35,988
  6. Step 6: Final answer
    x = 81,947.92

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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.