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Finding the Third Proportional to 7,340 and 10,510

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Solution

The third proportional to 7,340 and 10,510 is: 15,049.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340 : 10,510 = 10,510 : x
  2. Step 2: Convert to fraction form
    7,340/10,510 = 10,510/x
  3. Step 3: Cross multiply
    7,340x = 10,510 × 10,510
  4. Step 4: Simplify right side
    7,340x = 110,460,100
  5. Step 5: Solve for x
    x = 110,460,100/7,340
  6. Step 6: Final answer
    x = 15,049.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.