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Finding the Third Proportional to 41,628 and 91,037

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Solution

The third proportional to 41,628 and 91,037 is: 199,090.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,628 : 91,037 = 91,037 : x
  2. Step 2: Convert to fraction form
    41,628/91,037 = 91,037/x
  3. Step 3: Cross multiply
    41,628x = 91,037 × 91,037
  4. Step 4: Simplify right side
    41,628x = 8,287,735,369
  5. Step 5: Solve for x
    x = 8,287,735,369/41,628
  6. Step 6: Final answer
    x = 199,090.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.