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Finding the Third Proportional to 35,568 and 53,259.19

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Solution

The third proportional to 35,568 and 53,259.19 is: 79,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,568 : 53,259.19 = 53,259.19 : x
  2. Step 2: Convert to fraction form
    35,568/53,259.19 = 53,259.19/x
  3. Step 3: Cross multiply
    35,568x = 53,259.19 × 53,259.19
  4. Step 4: Simplify right side
    35,568x = 2,836,541,053.16
  5. Step 5: Solve for x
    x = 2,836,541,053.16/35,568
  6. Step 6: Final answer
    x = 79,749.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.