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Finding the Third Proportional to 46,632 and 70,391

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Solution

The third proportional to 46,632 and 70,391 is: 106,255.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,632 : 70,391 = 70,391 : x
  2. Step 2: Convert to fraction form
    46,632/70,391 = 70,391/x
  3. Step 3: Cross multiply
    46,632x = 70,391 × 70,391
  4. Step 4: Simplify right side
    46,632x = 4,954,892,881
  5. Step 5: Solve for x
    x = 4,954,892,881/46,632
  6. Step 6: Final answer
    x = 106,255.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.