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Finding the Third Proportional to 15,705 and 34,001

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Solution

The third proportional to 15,705 and 34,001 is: 73,611.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705 : 34,001 = 34,001 : x
  2. Step 2: Convert to fraction form
    15,705/34,001 = 34,001/x
  3. Step 3: Cross multiply
    15,705x = 34,001 × 34,001
  4. Step 4: Simplify right side
    15,705x = 1,156,068,001
  5. Step 5: Solve for x
    x = 1,156,068,001/15,705
  6. Step 6: Final answer
    x = 73,611.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.