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Finding the Third Proportional to 19,321 and 29,386

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Solution

The third proportional to 19,321 and 29,386 is: 44,694.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,321 : 29,386 = 29,386 : x
  2. Step 2: Convert to fraction form
    19,321/29,386 = 29,386/x
  3. Step 3: Cross multiply
    19,321x = 29,386 × 29,386
  4. Step 4: Simplify right side
    19,321x = 863,536,996
  5. Step 5: Solve for x
    x = 863,536,996/19,321
  6. Step 6: Final answer
    x = 44,694.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.