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Finding the Third Proportional to 27,532 and 45,550

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Solution

The third proportional to 27,532 and 45,550 is: 75,359.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,532 : 45,550 = 45,550 : x
  2. Step 2: Convert to fraction form
    27,532/45,550 = 45,550/x
  3. Step 3: Cross multiply
    27,532x = 45,550 × 45,550
  4. Step 4: Simplify right side
    27,532x = 2,074,802,500
  5. Step 5: Solve for x
    x = 2,074,802,500/27,532
  6. Step 6: Final answer
    x = 75,359.67

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.