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Finding the Third Proportional to 46,120.50 and 62,596.50

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Solution

The third proportional to 46,120.50 and 62,596.50 is: 84,958.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,120.50 : 62,596.50 = 62,596.50 : x
  2. Step 2: Convert to fraction form
    46,120.50/62,596.50 = 62,596.50/x
  3. Step 3: Cross multiply
    46,120.50x = 62,596.50 × 62,596.50
  4. Step 4: Simplify right side
    46,120.50x = 3,918,321,812.25
  5. Step 5: Solve for x
    x = 3,918,321,812.25/46,120.50
  6. Step 6: Final answer
    x = 84,958.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.