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Finding the Third Proportional to 10,894.50 and 16,765.88

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Solution

The third proportional to 10,894.50 and 16,765.88 is: 25,801.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.50 : 16,765.88 = 16,765.88 : x
  2. Step 2: Convert to fraction form
    10,894.50/16,765.88 = 16,765.88/x
  3. Step 3: Cross multiply
    10,894.50x = 16,765.88 × 16,765.88
  4. Step 4: Simplify right side
    10,894.50x = 281,094,564.52
  5. Step 5: Solve for x
    x = 281,094,564.52/10,894.50
  6. Step 6: Final answer
    x = 25,801.51

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.