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Finding the Third Proportional to 11,963.25 and 18,130.50

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Solution

The third proportional to 11,963.25 and 18,130.50 is: 27,477.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.25 : 18,130.50 = 18,130.50 : x
  2. Step 2: Convert to fraction form
    11,963.25/18,130.50 = 18,130.50/x
  3. Step 3: Cross multiply
    11,963.25x = 18,130.50 × 18,130.50
  4. Step 4: Simplify right side
    11,963.25x = 328,715,030.25
  5. Step 5: Solve for x
    x = 328,715,030.25/11,963.25
  6. Step 6: Final answer
    x = 27,477.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.