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Finding the Third Proportional to 19,999 and 43,310

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Solution

The third proportional to 19,999 and 43,310 is: 93,792.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,999 : 43,310 = 43,310 : x
  2. Step 2: Convert to fraction form
    19,999/43,310 = 43,310/x
  3. Step 3: Cross multiply
    19,999x = 43,310 × 43,310
  4. Step 4: Simplify right side
    19,999x = 1,875,756,100
  5. Step 5: Solve for x
    x = 1,875,756,100/19,999
  6. Step 6: Final answer
    x = 93,792.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.