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Finding the Third Proportional to 11,332.50 and 24,855

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Solution

The third proportional to 11,332.50 and 24,855 is: 54,513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.50 : 24,855 = 24,855 : x
  2. Step 2: Convert to fraction form
    11,332.50/24,855 = 24,855/x
  3. Step 3: Cross multiply
    11,332.50x = 24,855 × 24,855
  4. Step 4: Simplify right side
    11,332.50x = 617,771,025
  5. Step 5: Solve for x
    x = 617,771,025/11,332.50
  6. Step 6: Final answer
    x = 54,513.22

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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.