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Finding the Third Proportional to 10,035 and 21,453.75

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Solution

The third proportional to 10,035 and 21,453.75 is: 45,865.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035 : 21,453.75 = 21,453.75 : x
  2. Step 2: Convert to fraction form
    10,035/21,453.75 = 21,453.75/x
  3. Step 3: Cross multiply
    10,035x = 21,453.75 × 21,453.75
  4. Step 4: Simplify right side
    10,035x = 460,263,389.06
  5. Step 5: Solve for x
    x = 460,263,389.06/10,035
  6. Step 6: Final answer
    x = 45,865.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.