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Finding the Third Proportional to 19,457 and 40,588

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Solution

The third proportional to 19,457 and 40,588 is: 84,668.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,457 : 40,588 = 40,588 : x
  2. Step 2: Convert to fraction form
    19,457/40,588 = 40,588/x
  3. Step 3: Cross multiply
    19,457x = 40,588 × 40,588
  4. Step 4: Simplify right side
    19,457x = 1,647,385,744
  5. Step 5: Solve for x
    x = 1,647,385,744/19,457
  6. Step 6: Final answer
    x = 84,668.02

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.