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Finding the Third Proportional to 14,445 and 25,695

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Solution

The third proportional to 14,445 and 25,695 is: 45,706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,445 : 25,695 = 25,695 : x
  2. Step 2: Convert to fraction form
    14,445/25,695 = 25,695/x
  3. Step 3: Cross multiply
    14,445x = 25,695 × 25,695
  4. Step 4: Simplify right side
    14,445x = 660,233,025
  5. Step 5: Solve for x
    x = 660,233,025/14,445
  6. Step 6: Final answer
    x = 45,706.68

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.