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Finding the Third Proportional to 28,950 and 58,705.50

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Solution

The third proportional to 28,950 and 58,705.50 is: 119,044.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,950 : 58,705.50 = 58,705.50 : x
  2. Step 2: Convert to fraction form
    28,950/58,705.50 = 58,705.50/x
  3. Step 3: Cross multiply
    28,950x = 58,705.50 × 58,705.50
  4. Step 4: Simplify right side
    28,950x = 3,446,335,730.25
  5. Step 5: Solve for x
    x = 3,446,335,730.25/28,950
  6. Step 6: Final answer
    x = 119,044.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.