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Finding the Third Proportional to 11,563.17 and 25,266.30

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Solution

The third proportional to 11,563.17 and 25,266.30 is: 55,208.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.17 : 25,266.30 = 25,266.30 : x
  2. Step 2: Convert to fraction form
    11,563.17/25,266.30 = 25,266.30/x
  3. Step 3: Cross multiply
    11,563.17x = 25,266.30 × 25,266.30
  4. Step 4: Simplify right side
    11,563.17x = 638,386,152.56
  5. Step 5: Solve for x
    x = 638,386,152.56/11,563.17
  6. Step 6: Final answer
    x = 55,208.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.