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Finding the Third Proportional to 2,169 and 4,610.53

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Solution

The third proportional to 2,169 and 4,610.53 is: 9,800.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169 : 4,610.53 = 4,610.53 : x
  2. Step 2: Convert to fraction form
    2,169/4,610.53 = 4,610.53/x
  3. Step 3: Cross multiply
    2,169x = 4,610.53 × 4,610.53
  4. Step 4: Simplify right side
    2,169x = 21,256,998.41
  5. Step 5: Solve for x
    x = 21,256,998.41/2,169
  6. Step 6: Final answer
    x = 9,800.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.