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Finding the Third Proportional to 14,670 and 34,191

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Solution

The third proportional to 14,670 and 34,191 is: 79,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,670 : 34,191 = 34,191 : x
  2. Step 2: Convert to fraction form
    14,670/34,191 = 34,191/x
  3. Step 3: Cross multiply
    14,670x = 34,191 × 34,191
  4. Step 4: Simplify right side
    14,670x = 1,169,024,481
  5. Step 5: Solve for x
    x = 1,169,024,481/14,670
  6. Step 6: Final answer
    x = 79,688.10

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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.