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Finding the Third Proportional to 7,903.50 and 17,265

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Solution

The third proportional to 7,903.50 and 17,265 is: 37,714.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.50 : 17,265 = 17,265 : x
  2. Step 2: Convert to fraction form
    7,903.50/17,265 = 17,265/x
  3. Step 3: Cross multiply
    7,903.50x = 17,265 × 17,265
  4. Step 4: Simplify right side
    7,903.50x = 298,080,225
  5. Step 5: Solve for x
    x = 298,080,225/7,903.50
  6. Step 6: Final answer
    x = 37,714.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.