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Finding the Third Proportional to 30,932 and 67,776.50

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Solution

The third proportional to 30,932 and 67,776.50 is: 148,508.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,932 : 67,776.50 = 67,776.50 : x
  2. Step 2: Convert to fraction form
    30,932/67,776.50 = 67,776.50/x
  3. Step 3: Cross multiply
    30,932x = 67,776.50 × 67,776.50
  4. Step 4: Simplify right side
    30,932x = 4,593,653,952.25
  5. Step 5: Solve for x
    x = 4,593,653,952.25/30,932
  6. Step 6: Final answer
    x = 148,508.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.