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Finding the Third Proportional to 5,977.50 and 11,415

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Solution

The third proportional to 5,977.50 and 11,415 is: 21,798.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.50 : 11,415 = 11,415 : x
  2. Step 2: Convert to fraction form
    5,977.50/11,415 = 11,415/x
  3. Step 3: Cross multiply
    5,977.50x = 11,415 × 11,415
  4. Step 4: Simplify right side
    5,977.50x = 130,302,225
  5. Step 5: Solve for x
    x = 130,302,225/5,977.50
  6. Step 6: Final answer
    x = 21,798.78

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.