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Finding the Third Proportional to 13,776.75 and 28,750.78

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Solution

The third proportional to 13,776.75 and 28,750.78 is: 60,000.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.75 : 28,750.78 = 28,750.78 : x
  2. Step 2: Convert to fraction form
    13,776.75/28,750.78 = 28,750.78/x
  3. Step 3: Cross multiply
    13,776.75x = 28,750.78 × 28,750.78
  4. Step 4: Simplify right side
    13,776.75x = 826,607,422.49
  5. Step 5: Solve for x
    x = 826,607,422.49/13,776.75
  6. Step 6: Final answer
    x = 60,000.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.