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Finding the Third Proportional to 28,949 and 56,304

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Solution

The third proportional to 28,949 and 56,304 is: 109,507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,949 : 56,304 = 56,304 : x
  2. Step 2: Convert to fraction form
    28,949/56,304 = 56,304/x
  3. Step 3: Cross multiply
    28,949x = 56,304 × 56,304
  4. Step 4: Simplify right side
    28,949x = 3,170,140,416
  5. Step 5: Solve for x
    x = 3,170,140,416/28,949
  6. Step 6: Final answer
    x = 109,507.77

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.