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Finding the Third Proportional to 9,508.50 and 10,359

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Solution

The third proportional to 9,508.50 and 10,359 is: 11,285.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.50 : 10,359 = 10,359 : x
  2. Step 2: Convert to fraction form
    9,508.50/10,359 = 10,359/x
  3. Step 3: Cross multiply
    9,508.50x = 10,359 × 10,359
  4. Step 4: Simplify right side
    9,508.50x = 107,308,881
  5. Step 5: Solve for x
    x = 107,308,881/9,508.50
  6. Step 6: Final answer
    x = 11,285.57

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.