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Finding the Third Proportional to 19,860 and 43,337

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Solution

The third proportional to 19,860 and 43,337 is: 94,566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,860 : 43,337 = 43,337 : x
  2. Step 2: Convert to fraction form
    19,860/43,337 = 43,337/x
  3. Step 3: Cross multiply
    19,860x = 43,337 × 43,337
  4. Step 4: Simplify right side
    19,860x = 1,878,095,569
  5. Step 5: Solve for x
    x = 1,878,095,569/19,860
  6. Step 6: Final answer
    x = 94,566.75

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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.