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Finding the Third Proportional to 34,028 and 73,534

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Solution

The third proportional to 34,028 and 73,534 is: 158,905.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,028 : 73,534 = 73,534 : x
  2. Step 2: Convert to fraction form
    34,028/73,534 = 73,534/x
  3. Step 3: Cross multiply
    34,028x = 73,534 × 73,534
  4. Step 4: Simplify right side
    34,028x = 5,407,249,156
  5. Step 5: Solve for x
    x = 5,407,249,156/34,028
  6. Step 6: Final answer
    x = 158,905.88

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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.