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Finding the Third Proportional to 19,307 and 29,325

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Solution

The third proportional to 19,307 and 29,325 is: 44,541.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,307 : 29,325 = 29,325 : x
  2. Step 2: Convert to fraction form
    19,307/29,325 = 29,325/x
  3. Step 3: Cross multiply
    19,307x = 29,325 × 29,325
  4. Step 4: Simplify right side
    19,307x = 859,955,625
  5. Step 5: Solve for x
    x = 859,955,625/19,307
  6. Step 6: Final answer
    x = 44,541.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.