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Finding the Third Proportional to 18,600 and 27,898.50

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Solution

The third proportional to 18,600 and 27,898.50 is: 41,845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,600 : 27,898.50 = 27,898.50 : x
  2. Step 2: Convert to fraction form
    18,600/27,898.50 = 27,898.50/x
  3. Step 3: Cross multiply
    18,600x = 27,898.50 × 27,898.50
  4. Step 4: Simplify right side
    18,600x = 778,326,302.25
  5. Step 5: Solve for x
    x = 778,326,302.25/18,600
  6. Step 6: Final answer
    x = 41,845.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.