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Finding the Third Proportional to 16,957.50 and 26,235

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Solution

The third proportional to 16,957.50 and 26,235 is: 40,588.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,957.50 : 26,235 = 26,235 : x
  2. Step 2: Convert to fraction form
    16,957.50/26,235 = 26,235/x
  3. Step 3: Cross multiply
    16,957.50x = 26,235 × 26,235
  4. Step 4: Simplify right side
    16,957.50x = 688,275,225
  5. Step 5: Solve for x
    x = 688,275,225/16,957.50
  6. Step 6: Final answer
    x = 40,588.25

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Why These Related Problems?

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