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Finding the Third Proportional to 19,724 and 43,780

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Solution

The third proportional to 19,724 and 43,780 is: 97,175.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,724 : 43,780 = 43,780 : x
  2. Step 2: Convert to fraction form
    19,724/43,780 = 43,780/x
  3. Step 3: Cross multiply
    19,724x = 43,780 × 43,780
  4. Step 4: Simplify right side
    19,724x = 1,916,688,400
  5. Step 5: Solve for x
    x = 1,916,688,400/19,724
  6. Step 6: Final answer
    x = 97,175.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.