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Finding the Third Proportional to 36,925.50 and 53,748

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Solution

The third proportional to 36,925.50 and 53,748 is: 78,234.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,925.50 : 53,748 = 53,748 : x
  2. Step 2: Convert to fraction form
    36,925.50/53,748 = 53,748/x
  3. Step 3: Cross multiply
    36,925.50x = 53,748 × 53,748
  4. Step 4: Simplify right side
    36,925.50x = 2,888,847,504
  5. Step 5: Solve for x
    x = 2,888,847,504/36,925.50
  6. Step 6: Final answer
    x = 78,234.49

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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.