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Finding the Third Proportional to 35,970 and 76,548

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Solution

The third proportional to 35,970 and 76,548 is: 162,902.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,970 : 76,548 = 76,548 : x
  2. Step 2: Convert to fraction form
    35,970/76,548 = 76,548/x
  3. Step 3: Cross multiply
    35,970x = 76,548 × 76,548
  4. Step 4: Simplify right side
    35,970x = 5,859,596,304
  5. Step 5: Solve for x
    x = 5,859,596,304/35,970
  6. Step 6: Final answer
    x = 162,902.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.