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Finding the Third Proportional to 18,747 and 44,005.50

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Solution

The third proportional to 18,747 and 44,005.50 is: 103,295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,747 : 44,005.50 = 44,005.50 : x
  2. Step 2: Convert to fraction form
    18,747/44,005.50 = 44,005.50/x
  3. Step 3: Cross multiply
    18,747x = 44,005.50 × 44,005.50
  4. Step 4: Simplify right side
    18,747x = 1,936,484,030.25
  5. Step 5: Solve for x
    x = 1,936,484,030.25/18,747
  6. Step 6: Final answer
    x = 103,295.68

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.