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Finding the Third Proportional to 5,130.75 and 7,846.13

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Solution

The third proportional to 5,130.75 and 7,846.13 is: 11,998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.75 : 7,846.13 = 7,846.13 : x
  2. Step 2: Convert to fraction form
    5,130.75/7,846.13 = 7,846.13/x
  3. Step 3: Cross multiply
    5,130.75x = 7,846.13 × 7,846.13
  4. Step 4: Simplify right side
    5,130.75x = 61,561,677.52
  5. Step 5: Solve for x
    x = 61,561,677.52/5,130.75
  6. Step 6: Final answer
    x = 11,998.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.