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Finding the Third Proportional to 11,004 and 25,963.50

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Solution

The third proportional to 11,004 and 25,963.50 is: 61,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,004 : 25,963.50 = 25,963.50 : x
  2. Step 2: Convert to fraction form
    11,004/25,963.50 = 25,963.50/x
  3. Step 3: Cross multiply
    11,004x = 25,963.50 × 25,963.50
  4. Step 4: Simplify right side
    11,004x = 674,103,332.25
  5. Step 5: Solve for x
    x = 674,103,332.25/11,004
  6. Step 6: Final answer
    x = 61,259.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.