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Finding the Third Proportional to 27,572 and 59,272

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Solution

The third proportional to 27,572 and 59,272 is: 127,418.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,572 : 59,272 = 59,272 : x
  2. Step 2: Convert to fraction form
    27,572/59,272 = 59,272/x
  3. Step 3: Cross multiply
    27,572x = 59,272 × 59,272
  4. Step 4: Simplify right side
    27,572x = 3,513,169,984
  5. Step 5: Solve for x
    x = 3,513,169,984/27,572
  6. Step 6: Final answer
    x = 127,418.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.