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Finding the Third Proportional to 19,464 and 30,408

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Solution

The third proportional to 19,464 and 30,408 is: 47,505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,464 : 30,408 = 30,408 : x
  2. Step 2: Convert to fraction form
    19,464/30,408 = 30,408/x
  3. Step 3: Cross multiply
    19,464x = 30,408 × 30,408
  4. Step 4: Simplify right side
    19,464x = 924,646,464
  5. Step 5: Solve for x
    x = 924,646,464/19,464
  6. Step 6: Final answer
    x = 47,505.47

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Why These Related Problems?

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