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Finding the Third Proportional to 7,020 and 16,265

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Solution

The third proportional to 7,020 and 16,265 is: 37,685.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,020 : 16,265 = 16,265 : x
  2. Step 2: Convert to fraction form
    7,020/16,265 = 16,265/x
  3. Step 3: Cross multiply
    7,020x = 16,265 × 16,265
  4. Step 4: Simplify right side
    7,020x = 264,550,225
  5. Step 5: Solve for x
    x = 264,550,225/7,020
  6. Step 6: Final answer
    x = 37,685.22

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.