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Finding the Third Proportional to 15,641 and 34,321

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Solution

The third proportional to 15,641 and 34,321 is: 75,310.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,641 : 34,321 = 34,321 : x
  2. Step 2: Convert to fraction form
    15,641/34,321 = 34,321/x
  3. Step 3: Cross multiply
    15,641x = 34,321 × 34,321
  4. Step 4: Simplify right side
    15,641x = 1,177,931,041
  5. Step 5: Solve for x
    x = 1,177,931,041/15,641
  6. Step 6: Final answer
    x = 75,310.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.