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Finding the Third Proportional to 46,913.50 and 95,737

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Solution

The third proportional to 46,913.50 and 95,737 is: 195,371.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,913.50 : 95,737 = 95,737 : x
  2. Step 2: Convert to fraction form
    46,913.50/95,737 = 95,737/x
  3. Step 3: Cross multiply
    46,913.50x = 95,737 × 95,737
  4. Step 4: Simplify right side
    46,913.50x = 9,165,573,169
  5. Step 5: Solve for x
    x = 9,165,573,169/46,913.50
  6. Step 6: Final answer
    x = 195,371.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.