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Finding the Third Proportional to 19,756 and 42,791

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Solution

The third proportional to 19,756 and 42,791 is: 92,684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,756 : 42,791 = 42,791 : x
  2. Step 2: Convert to fraction form
    19,756/42,791 = 42,791/x
  3. Step 3: Cross multiply
    19,756x = 42,791 × 42,791
  4. Step 4: Simplify right side
    19,756x = 1,831,069,681
  5. Step 5: Solve for x
    x = 1,831,069,681/19,756
  6. Step 6: Final answer
    x = 92,684.23

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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.