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Finding the Third Proportional to 35,228 and 49,548

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Solution

The third proportional to 35,228 and 49,548 is: 69,689.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,228 : 49,548 = 49,548 : x
  2. Step 2: Convert to fraction form
    35,228/49,548 = 49,548/x
  3. Step 3: Cross multiply
    35,228x = 49,548 × 49,548
  4. Step 4: Simplify right side
    35,228x = 2,455,004,304
  5. Step 5: Solve for x
    x = 2,455,004,304/35,228
  6. Step 6: Final answer
    x = 69,689.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.