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Finding the Third Proportional to 5,150 and 7,358

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Solution

The third proportional to 5,150 and 7,358 is: 10,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150 : 7,358 = 7,358 : x
  2. Step 2: Convert to fraction form
    5,150/7,358 = 7,358/x
  3. Step 3: Cross multiply
    5,150x = 7,358 × 7,358
  4. Step 4: Simplify right side
    5,150x = 54,140,164
  5. Step 5: Solve for x
    x = 54,140,164/5,150
  6. Step 6: Final answer
    x = 10,512.65

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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.