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Finding the Third Proportional to 23,800.50 and 38,218.50

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Solution

The third proportional to 23,800.50 and 38,218.50 is: 61,370.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,800.50 : 38,218.50 = 38,218.50 : x
  2. Step 2: Convert to fraction form
    23,800.50/38,218.50 = 38,218.50/x
  3. Step 3: Cross multiply
    23,800.50x = 38,218.50 × 38,218.50
  4. Step 4: Simplify right side
    23,800.50x = 1,460,653,742.25
  5. Step 5: Solve for x
    x = 1,460,653,742.25/23,800.50
  6. Step 6: Final answer
    x = 61,370.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.