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Finding the Third Proportional to 46,011 and 69,835.50

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Solution

The third proportional to 46,011 and 69,835.50 is: 105,996.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,011 : 69,835.50 = 69,835.50 : x
  2. Step 2: Convert to fraction form
    46,011/69,835.50 = 69,835.50/x
  3. Step 3: Cross multiply
    46,011x = 69,835.50 × 69,835.50
  4. Step 4: Simplify right side
    46,011x = 4,876,997,060.25
  5. Step 5: Solve for x
    x = 4,876,997,060.25/46,011
  6. Step 6: Final answer
    x = 105,996.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.