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Finding the Third Proportional to 14,854 and 26,405

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Solution

The third proportional to 14,854 and 26,405 is: 46,938.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854 : 26,405 = 26,405 : x
  2. Step 2: Convert to fraction form
    14,854/26,405 = 26,405/x
  3. Step 3: Cross multiply
    14,854x = 26,405 × 26,405
  4. Step 4: Simplify right side
    14,854x = 697,224,025
  5. Step 5: Solve for x
    x = 697,224,025/14,854
  6. Step 6: Final answer
    x = 46,938.47

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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.