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Finding the Third Proportional to 32,030 and 68,686

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Solution

The third proportional to 32,030 and 68,686 is: 147,292.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,030 : 68,686 = 68,686 : x
  2. Step 2: Convert to fraction form
    32,030/68,686 = 68,686/x
  3. Step 3: Cross multiply
    32,030x = 68,686 × 68,686
  4. Step 4: Simplify right side
    32,030x = 4,717,766,596
  5. Step 5: Solve for x
    x = 4,717,766,596/32,030
  6. Step 6: Final answer
    x = 147,292.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.