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Finding the Third Proportional to 19,464 and 39,900

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Solution

The third proportional to 19,464 and 39,900 is: 81,792.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,464 : 39,900 = 39,900 : x
  2. Step 2: Convert to fraction form
    19,464/39,900 = 39,900/x
  3. Step 3: Cross multiply
    19,464x = 39,900 × 39,900
  4. Step 4: Simplify right side
    19,464x = 1,592,010,000
  5. Step 5: Solve for x
    x = 1,592,010,000/19,464
  6. Step 6: Final answer
    x = 81,792.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.