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Finding the Third Proportional to 44,630 and 61,197

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Solution

The third proportional to 44,630 and 61,197 is: 83,913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,630 : 61,197 = 61,197 : x
  2. Step 2: Convert to fraction form
    44,630/61,197 = 61,197/x
  3. Step 3: Cross multiply
    44,630x = 61,197 × 61,197
  4. Step 4: Simplify right side
    44,630x = 3,745,072,809
  5. Step 5: Solve for x
    x = 3,745,072,809/44,630
  6. Step 6: Final answer
    x = 83,913.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.