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Finding the Third Proportional to 12,534 and 29,145

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Solution

The third proportional to 12,534 and 29,145 is: 67,770.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534 : 29,145 = 29,145 : x
  2. Step 2: Convert to fraction form
    12,534/29,145 = 29,145/x
  3. Step 3: Cross multiply
    12,534x = 29,145 × 29,145
  4. Step 4: Simplify right side
    12,534x = 849,431,025
  5. Step 5: Solve for x
    x = 849,431,025/12,534
  6. Step 6: Final answer
    x = 67,770.15

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.