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Finding the Third Proportional to 30,823.50 and 63,103.50

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Solution

The third proportional to 30,823.50 and 63,103.50 is: 129,188.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.50 : 63,103.50 = 63,103.50 : x
  2. Step 2: Convert to fraction form
    30,823.50/63,103.50 = 63,103.50/x
  3. Step 3: Cross multiply
    30,823.50x = 63,103.50 × 63,103.50
  4. Step 4: Simplify right side
    30,823.50x = 3,982,051,712.25
  5. Step 5: Solve for x
    x = 3,982,051,712.25/30,823.50
  6. Step 6: Final answer
    x = 129,188.82

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.