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Finding the Third Proportional to 27,030 and 63,132

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Solution

The third proportional to 27,030 and 63,132 is: 147,452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,030 : 63,132 = 63,132 : x
  2. Step 2: Convert to fraction form
    27,030/63,132 = 63,132/x
  3. Step 3: Cross multiply
    27,030x = 63,132 × 63,132
  4. Step 4: Simplify right side
    27,030x = 3,985,649,424
  5. Step 5: Solve for x
    x = 3,985,649,424/27,030
  6. Step 6: Final answer
    x = 147,452.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.