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Finding the Third Proportional to 19,459 and 30,404

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Solution

The third proportional to 19,459 and 30,404 is: 47,505.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,459 : 30,404 = 30,404 : x
  2. Step 2: Convert to fraction form
    19,459/30,404 = 30,404/x
  3. Step 3: Cross multiply
    19,459x = 30,404 × 30,404
  4. Step 4: Simplify right side
    19,459x = 924,403,216
  5. Step 5: Solve for x
    x = 924,403,216/19,459
  6. Step 6: Final answer
    x = 47,505.18

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.