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Finding the Third Proportional to 15,832 and 34,046

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Solution

The third proportional to 15,832 and 34,046 is: 73,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,832 : 34,046 = 34,046 : x
  2. Step 2: Convert to fraction form
    15,832/34,046 = 34,046/x
  3. Step 3: Cross multiply
    15,832x = 34,046 × 34,046
  4. Step 4: Simplify right side
    15,832x = 1,159,130,116
  5. Step 5: Solve for x
    x = 1,159,130,116/15,832
  6. Step 6: Final answer
    x = 73,214.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.