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Finding the Third Proportional to 8,457 and 9,789

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Solution

The third proportional to 8,457 and 9,789 is: 11,330.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457 : 9,789 = 9,789 : x
  2. Step 2: Convert to fraction form
    8,457/9,789 = 9,789/x
  3. Step 3: Cross multiply
    8,457x = 9,789 × 9,789
  4. Step 4: Simplify right side
    8,457x = 95,824,521
  5. Step 5: Solve for x
    x = 95,824,521/8,457
  6. Step 6: Final answer
    x = 11,330.79

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.