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Finding the Third Proportional to 18,406.50 and 39,276

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Solution

The third proportional to 18,406.50 and 39,276 is: 83,807.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,406.50 : 39,276 = 39,276 : x
  2. Step 2: Convert to fraction form
    18,406.50/39,276 = 39,276/x
  3. Step 3: Cross multiply
    18,406.50x = 39,276 × 39,276
  4. Step 4: Simplify right side
    18,406.50x = 1,542,604,176
  5. Step 5: Solve for x
    x = 1,542,604,176/18,406.50
  6. Step 6: Final answer
    x = 83,807.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.