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Finding the Third Proportional to 17,572 and 27,312

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Solution

The third proportional to 17,572 and 27,312 is: 42,450.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,572 : 27,312 = 27,312 : x
  2. Step 2: Convert to fraction form
    17,572/27,312 = 27,312/x
  3. Step 3: Cross multiply
    17,572x = 27,312 × 27,312
  4. Step 4: Simplify right side
    17,572x = 745,945,344
  5. Step 5: Solve for x
    x = 745,945,344/17,572
  6. Step 6: Final answer
    x = 42,450.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.