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Finding the Third Proportional to 35,532 and 76,534

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Solution

The third proportional to 35,532 and 76,534 is: 164,850.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,532 : 76,534 = 76,534 : x
  2. Step 2: Convert to fraction form
    35,532/76,534 = 76,534/x
  3. Step 3: Cross multiply
    35,532x = 76,534 × 76,534
  4. Step 4: Simplify right side
    35,532x = 5,857,453,156
  5. Step 5: Solve for x
    x = 5,857,453,156/35,532
  6. Step 6: Final answer
    x = 164,850.08

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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.