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Finding the Third Proportional to 28,734 and 63,057

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Solution

The third proportional to 28,734 and 63,057 is: 138,379.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,734 : 63,057 = 63,057 : x
  2. Step 2: Convert to fraction form
    28,734/63,057 = 63,057/x
  3. Step 3: Cross multiply
    28,734x = 63,057 × 63,057
  4. Step 4: Simplify right side
    28,734x = 3,976,185,249
  5. Step 5: Solve for x
    x = 3,976,185,249/28,734
  6. Step 6: Final answer
    x = 138,379.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.