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Finding the Third Proportional to 10,827.50 and 23,329

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Solution

The third proportional to 10,827.50 and 23,329 is: 50,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.50 : 23,329 = 23,329 : x
  2. Step 2: Convert to fraction form
    10,827.50/23,329 = 23,329/x
  3. Step 3: Cross multiply
    10,827.50x = 23,329 × 23,329
  4. Step 4: Simplify right side
    10,827.50x = 544,242,241
  5. Step 5: Solve for x
    x = 544,242,241/10,827.50
  6. Step 6: Final answer
    x = 50,264.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.