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Finding the Third Proportional to 15,835 and 34,181

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Solution

The third proportional to 15,835 and 34,181 is: 73,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,835 : 34,181 = 34,181 : x
  2. Step 2: Convert to fraction form
    15,835/34,181 = 34,181/x
  3. Step 3: Cross multiply
    15,835x = 34,181 × 34,181
  4. Step 4: Simplify right side
    15,835x = 1,168,340,761
  5. Step 5: Solve for x
    x = 1,168,340,761/15,835
  6. Step 6: Final answer
    x = 73,782.18

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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.