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Finding the Third Proportional to 5,798 and 7,531

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Solution

The third proportional to 5,798 and 7,531 is: 9,781.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798 : 7,531 = 7,531 : x
  2. Step 2: Convert to fraction form
    5,798/7,531 = 7,531/x
  3. Step 3: Cross multiply
    5,798x = 7,531 × 7,531
  4. Step 4: Simplify right side
    5,798x = 56,715,961
  5. Step 5: Solve for x
    x = 56,715,961/5,798
  6. Step 6: Final answer
    x = 9,781.99

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.