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Finding the Third Proportional to 27,572 and 42,176

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Solution

The third proportional to 27,572 and 42,176 is: 64,515.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,572 : 42,176 = 42,176 : x
  2. Step 2: Convert to fraction form
    27,572/42,176 = 42,176/x
  3. Step 3: Cross multiply
    27,572x = 42,176 × 42,176
  4. Step 4: Simplify right side
    27,572x = 1,778,814,976
  5. Step 5: Solve for x
    x = 1,778,814,976/27,572
  6. Step 6: Final answer
    x = 64,515.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.