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Finding the Third Proportional to 46,246.50 and 71,640

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Solution

The third proportional to 46,246.50 and 71,640 is: 110,976.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,246.50 : 71,640 = 71,640 : x
  2. Step 2: Convert to fraction form
    46,246.50/71,640 = 71,640/x
  3. Step 3: Cross multiply
    46,246.50x = 71,640 × 71,640
  4. Step 4: Simplify right side
    46,246.50x = 5,132,289,600
  5. Step 5: Solve for x
    x = 5,132,289,600/46,246.50
  6. Step 6: Final answer
    x = 110,976.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.