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Finding the Third Proportional to 28,993 and 62,783

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Solution

The third proportional to 28,993 and 62,783 is: 135,953.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,993 : 62,783 = 62,783 : x
  2. Step 2: Convert to fraction form
    28,993/62,783 = 62,783/x
  3. Step 3: Cross multiply
    28,993x = 62,783 × 62,783
  4. Step 4: Simplify right side
    28,993x = 3,941,705,089
  5. Step 5: Solve for x
    x = 3,941,705,089/28,993
  6. Step 6: Final answer
    x = 135,953.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.