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Finding the Third Proportional to 36,925 and 53,746

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Solution

The third proportional to 36,925 and 53,746 is: 78,229.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,925 : 53,746 = 53,746 : x
  2. Step 2: Convert to fraction form
    36,925/53,746 = 53,746/x
  3. Step 3: Cross multiply
    36,925x = 53,746 × 53,746
  4. Step 4: Simplify right side
    36,925x = 2,888,632,516
  5. Step 5: Solve for x
    x = 2,888,632,516/36,925
  6. Step 6: Final answer
    x = 78,229.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.