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Finding the Third Proportional to 23,532.75 and 36,688.50

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Solution

The third proportional to 23,532.75 and 36,688.50 is: 57,198.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,532.75 : 36,688.50 = 36,688.50 : x
  2. Step 2: Convert to fraction form
    23,532.75/36,688.50 = 36,688.50/x
  3. Step 3: Cross multiply
    23,532.75x = 36,688.50 × 36,688.50
  4. Step 4: Simplify right side
    23,532.75x = 1,346,046,032.25
  5. Step 5: Solve for x
    x = 1,346,046,032.25/23,532.75
  6. Step 6: Final answer
    x = 57,198.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.