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Finding the Third Proportional to 14,541.75 and 23,063.63

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Solution

The third proportional to 14,541.75 and 23,063.63 is: 36,579.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,541.75 : 23,063.63 = 23,063.63 : x
  2. Step 2: Convert to fraction form
    14,541.75/23,063.63 = 23,063.63/x
  3. Step 3: Cross multiply
    14,541.75x = 23,063.63 × 23,063.63
  4. Step 4: Simplify right side
    14,541.75x = 531,930,798.14
  5. Step 5: Solve for x
    x = 531,930,798.14/14,541.75
  6. Step 6: Final answer
    x = 36,579.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.