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Finding the Third Proportional to 7,827 and 9,033

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Solution

The third proportional to 7,827 and 9,033 is: 10,424.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827 : 9,033 = 9,033 : x
  2. Step 2: Convert to fraction form
    7,827/9,033 = 9,033/x
  3. Step 3: Cross multiply
    7,827x = 9,033 × 9,033
  4. Step 4: Simplify right side
    7,827x = 81,595,089
  5. Step 5: Solve for x
    x = 81,595,089/7,827
  6. Step 6: Final answer
    x = 10,424.82

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.