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Finding the Third Proportional to 10,749.50 and 16,610.50

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Solution

The third proportional to 10,749.50 and 16,610.50 is: 25,667.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,749.50 : 16,610.50 = 16,610.50 : x
  2. Step 2: Convert to fraction form
    10,749.50/16,610.50 = 16,610.50/x
  3. Step 3: Cross multiply
    10,749.50x = 16,610.50 × 16,610.50
  4. Step 4: Simplify right side
    10,749.50x = 275,908,710.25
  5. Step 5: Solve for x
    x = 275,908,710.25/10,749.50
  6. Step 6: Final answer
    x = 25,667.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.