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Finding the Third Proportional to 5,761.13 and 7,820.30

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Solution

The third proportional to 5,761.13 and 7,820.30 is: 10,615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.13 : 7,820.30 = 7,820.30 : x
  2. Step 2: Convert to fraction form
    5,761.13/7,820.30 = 7,820.30/x
  3. Step 3: Cross multiply
    5,761.13x = 7,820.30 × 7,820.30
  4. Step 4: Simplify right side
    5,761.13x = 61,157,043.21
  5. Step 5: Solve for x
    x = 61,157,043.21/5,761.13
  6. Step 6: Final answer
    x = 10,615.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.