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Finding the Third Proportional to 23,383.69 and 38,515.50

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Solution

The third proportional to 23,383.69 and 38,515.50 is: 63,439.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,383.69 : 38,515.50 = 38,515.50 : x
  2. Step 2: Convert to fraction form
    23,383.69/38,515.50 = 38,515.50/x
  3. Step 3: Cross multiply
    23,383.69x = 38,515.50 × 38,515.50
  4. Step 4: Simplify right side
    23,383.69x = 1,483,443,740.25
  5. Step 5: Solve for x
    x = 1,483,443,740.25/23,383.69
  6. Step 6: Final answer
    x = 63,439.26

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.