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Finding the Third Proportional to 19,720 and 42,356

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Solution

The third proportional to 19,720 and 42,356 is: 90,975.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,720 : 42,356 = 42,356 : x
  2. Step 2: Convert to fraction form
    19,720/42,356 = 42,356/x
  3. Step 3: Cross multiply
    19,720x = 42,356 × 42,356
  4. Step 4: Simplify right side
    19,720x = 1,794,030,736
  5. Step 5: Solve for x
    x = 1,794,030,736/19,720
  6. Step 6: Final answer
    x = 90,975.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.