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Finding the Third Proportional to 7,977 and 13,108.50

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Solution

The third proportional to 7,977 and 13,108.50 is: 21,541.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977 : 13,108.50 = 13,108.50 : x
  2. Step 2: Convert to fraction form
    7,977/13,108.50 = 13,108.50/x
  3. Step 3: Cross multiply
    7,977x = 13,108.50 × 13,108.50
  4. Step 4: Simplify right side
    7,977x = 171,832,772.25
  5. Step 5: Solve for x
    x = 171,832,772.25/7,977
  6. Step 6: Final answer
    x = 21,541.03

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.