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Finding the Third Proportional to 46,737 and 73,507.50

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Solution

The third proportional to 46,737 and 73,507.50 is: 115,611.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,737 : 73,507.50 = 73,507.50 : x
  2. Step 2: Convert to fraction form
    46,737/73,507.50 = 73,507.50/x
  3. Step 3: Cross multiply
    46,737x = 73,507.50 × 73,507.50
  4. Step 4: Simplify right side
    46,737x = 5,403,352,556.25
  5. Step 5: Solve for x
    x = 5,403,352,556.25/46,737
  6. Step 6: Final answer
    x = 115,611.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.