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Finding the Third Proportional to 27,588 and 59,550

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Solution

The third proportional to 27,588 and 59,550 is: 128,541.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,588 : 59,550 = 59,550 : x
  2. Step 2: Convert to fraction form
    27,588/59,550 = 59,550/x
  3. Step 3: Cross multiply
    27,588x = 59,550 × 59,550
  4. Step 4: Simplify right side
    27,588x = 3,546,202,500
  5. Step 5: Solve for x
    x = 3,546,202,500/27,588
  6. Step 6: Final answer
    x = 128,541.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.