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Finding the Third Proportional to 19,468 and 40,880

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Solution

The third proportional to 19,468 and 40,880 is: 85,842.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,468 : 40,880 = 40,880 : x
  2. Step 2: Convert to fraction form
    19,468/40,880 = 40,880/x
  3. Step 3: Cross multiply
    19,468x = 40,880 × 40,880
  4. Step 4: Simplify right side
    19,468x = 1,671,174,400
  5. Step 5: Solve for x
    x = 1,671,174,400/19,468
  6. Step 6: Final answer
    x = 85,842.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.