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Finding the Third Proportional to 46,640 and 72,750

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Solution

The third proportional to 46,640 and 72,750 is: 113,476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,640 : 72,750 = 72,750 : x
  2. Step 2: Convert to fraction form
    46,640/72,750 = 72,750/x
  3. Step 3: Cross multiply
    46,640x = 72,750 × 72,750
  4. Step 4: Simplify right side
    46,640x = 5,292,562,500
  5. Step 5: Solve for x
    x = 5,292,562,500/46,640
  6. Step 6: Final answer
    x = 113,476.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.