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Finding the Third Proportional to 38,823 and 58,954.50

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Solution

The third proportional to 38,823 and 58,954.50 is: 89,525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,823 : 58,954.50 = 58,954.50 : x
  2. Step 2: Convert to fraction form
    38,823/58,954.50 = 58,954.50/x
  3. Step 3: Cross multiply
    38,823x = 58,954.50 × 58,954.50
  4. Step 4: Simplify right side
    38,823x = 3,475,633,070.25
  5. Step 5: Solve for x
    x = 3,475,633,070.25/38,823
  6. Step 6: Final answer
    x = 89,525.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.