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Finding the Third Proportional to 12,092.63 and 25,359.75

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Solution

The third proportional to 12,092.63 and 25,359.75 is: 53,182.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092.63 : 25,359.75 = 25,359.75 : x
  2. Step 2: Convert to fraction form
    12,092.63/25,359.75 = 25,359.75/x
  3. Step 3: Cross multiply
    12,092.63x = 25,359.75 × 25,359.75
  4. Step 4: Simplify right side
    12,092.63x = 643,116,920.06
  5. Step 5: Solve for x
    x = 643,116,920.06/12,092.63
  6. Step 6: Final answer
    x = 53,182.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.