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Finding the Third Proportional to 19,757 and 43,069

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Solution

The third proportional to 19,757 and 43,069 is: 93,887.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,757 : 43,069 = 43,069 : x
  2. Step 2: Convert to fraction form
    19,757/43,069 = 43,069/x
  3. Step 3: Cross multiply
    19,757x = 43,069 × 43,069
  4. Step 4: Simplify right side
    19,757x = 1,854,938,761
  5. Step 5: Solve for x
    x = 1,854,938,761/19,757
  6. Step 6: Final answer
    x = 93,887.67

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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.