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Finding the Third Proportional to 35,320 and 54,548

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Solution

The third proportional to 35,320 and 54,548 is: 84,243.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,320 : 54,548 = 54,548 : x
  2. Step 2: Convert to fraction form
    35,320/54,548 = 54,548/x
  3. Step 3: Cross multiply
    35,320x = 54,548 × 54,548
  4. Step 4: Simplify right side
    35,320x = 2,975,484,304
  5. Step 5: Solve for x
    x = 2,975,484,304/35,320
  6. Step 6: Final answer
    x = 84,243.61

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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.