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Finding the Third Proportional to 10,887 and 16,756.50

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Solution

The third proportional to 10,887 and 16,756.50 is: 25,790.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,887 : 16,756.50 = 16,756.50 : x
  2. Step 2: Convert to fraction form
    10,887/16,756.50 = 16,756.50/x
  3. Step 3: Cross multiply
    10,887x = 16,756.50 × 16,756.50
  4. Step 4: Simplify right side
    10,887x = 280,780,292.25
  5. Step 5: Solve for x
    x = 280,780,292.25/10,887
  6. Step 6: Final answer
    x = 25,790.42

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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.