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Finding the Third Proportional to 32,028 and 70,968

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Solution

The third proportional to 32,028 and 70,968 is: 157,251.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,028 : 70,968 = 70,968 : x
  2. Step 2: Convert to fraction form
    32,028/70,968 = 70,968/x
  3. Step 3: Cross multiply
    32,028x = 70,968 × 70,968
  4. Step 4: Simplify right side
    32,028x = 5,036,457,024
  5. Step 5: Solve for x
    x = 5,036,457,024/32,028
  6. Step 6: Final answer
    x = 157,251.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.