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Finding the Third Proportional to 15,658.50 and 33,780

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Solution

The third proportional to 15,658.50 and 33,780 is: 72,873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,658.50 : 33,780 = 33,780 : x
  2. Step 2: Convert to fraction form
    15,658.50/33,780 = 33,780/x
  3. Step 3: Cross multiply
    15,658.50x = 33,780 × 33,780
  4. Step 4: Simplify right side
    15,658.50x = 1,141,088,400
  5. Step 5: Solve for x
    x = 1,141,088,400/15,658.50
  6. Step 6: Final answer
    x = 72,873.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.