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Finding the Third Proportional to 35,581 and 79,040

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Solution

The third proportional to 35,581 and 79,040 is: 175,580.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,581 : 79,040 = 79,040 : x
  2. Step 2: Convert to fraction form
    35,581/79,040 = 79,040/x
  3. Step 3: Cross multiply
    35,581x = 79,040 × 79,040
  4. Step 4: Simplify right side
    35,581x = 6,247,321,600
  5. Step 5: Solve for x
    x = 6,247,321,600/35,581
  6. Step 6: Final answer
    x = 175,580.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.