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Finding the Third Proportional to 19,725 and 43,092

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Solution

The third proportional to 19,725 and 43,092 is: 94,140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,725 : 43,092 = 43,092 : x
  2. Step 2: Convert to fraction form
    19,725/43,092 = 43,092/x
  3. Step 3: Cross multiply
    19,725x = 43,092 × 43,092
  4. Step 4: Simplify right side
    19,725x = 1,856,920,464
  5. Step 5: Solve for x
    x = 1,856,920,464/19,725
  6. Step 6: Final answer
    x = 94,140.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.