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Finding the Third Proportional to 17,898.50 and 38,747

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Solution

The third proportional to 17,898.50 and 38,747 is: 83,880.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,898.50 : 38,747 = 38,747 : x
  2. Step 2: Convert to fraction form
    17,898.50/38,747 = 38,747/x
  3. Step 3: Cross multiply
    17,898.50x = 38,747 × 38,747
  4. Step 4: Simplify right side
    17,898.50x = 1,501,330,009
  5. Step 5: Solve for x
    x = 1,501,330,009/17,898.50
  6. Step 6: Final answer
    x = 83,880.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.