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Finding the Third Proportional to 7,200 and 17,510

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Solution

The third proportional to 7,200 and 17,510 is: 42,583.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200 : 17,510 = 17,510 : x
  2. Step 2: Convert to fraction form
    7,200/17,510 = 17,510/x
  3. Step 3: Cross multiply
    7,200x = 17,510 × 17,510
  4. Step 4: Simplify right side
    7,200x = 306,600,100
  5. Step 5: Solve for x
    x = 306,600,100/7,200
  6. Step 6: Final answer
    x = 42,583.35

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.