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Finding the Third Proportional to 11,313 and 14,876.63

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Solution

The third proportional to 11,313 and 14,876.63 is: 19,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,313 : 14,876.63 = 14,876.63 : x
  2. Step 2: Convert to fraction form
    11,313/14,876.63 = 14,876.63/x
  3. Step 3: Cross multiply
    11,313x = 14,876.63 × 14,876.63
  4. Step 4: Simplify right side
    11,313x = 221,313,971.39
  5. Step 5: Solve for x
    x = 221,313,971.39/11,313
  6. Step 6: Final answer
    x = 19,562.80

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.