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Finding the Third Proportional to 16,735 and 25,912.50

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Solution

The third proportional to 16,735 and 25,912.50 is: 40,122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,735 : 25,912.50 = 25,912.50 : x
  2. Step 2: Convert to fraction form
    16,735/25,912.50 = 25,912.50/x
  3. Step 3: Cross multiply
    16,735x = 25,912.50 × 25,912.50
  4. Step 4: Simplify right side
    16,735x = 671,457,656.25
  5. Step 5: Solve for x
    x = 671,457,656.25/16,735
  6. Step 6: Final answer
    x = 40,122.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.