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Finding the Third Proportional to 16,735.50 and 23,397.75

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Solution

The third proportional to 16,735.50 and 23,397.75 is: 32,712.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,735.50 : 23,397.75 = 23,397.75 : x
  2. Step 2: Convert to fraction form
    16,735.50/23,397.75 = 23,397.75/x
  3. Step 3: Cross multiply
    16,735.50x = 23,397.75 × 23,397.75
  4. Step 4: Simplify right side
    16,735.50x = 547,454,705.06
  5. Step 5: Solve for x
    x = 547,454,705.06/16,735.50
  6. Step 6: Final answer
    x = 32,712.18

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Why These Related Problems?

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