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Finding the Third Proportional to 6,740 and 10,358

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Solution

The third proportional to 6,740 and 10,358 is: 15,918.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740 : 10,358 = 10,358 : x
  2. Step 2: Convert to fraction form
    6,740/10,358 = 10,358/x
  3. Step 3: Cross multiply
    6,740x = 10,358 × 10,358
  4. Step 4: Simplify right side
    6,740x = 107,288,164
  5. Step 5: Solve for x
    x = 107,288,164/6,740
  6. Step 6: Final answer
    x = 15,918.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.