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Finding the Third Proportional to 15,735 and 22,000.50

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Solution

The third proportional to 15,735 and 22,000.50 is: 30,760.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735 : 22,000.50 = 22,000.50 : x
  2. Step 2: Convert to fraction form
    15,735/22,000.50 = 22,000.50/x
  3. Step 3: Cross multiply
    15,735x = 22,000.50 × 22,000.50
  4. Step 4: Simplify right side
    15,735x = 484,022,000.25
  5. Step 5: Solve for x
    x = 484,022,000.25/15,735
  6. Step 6: Final answer
    x = 30,760.85

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.