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Finding the Third Proportional to 6,354 and 7,410

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Solution

The third proportional to 6,354 and 7,410 is: 8,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354 : 7,410 = 7,410 : x
  2. Step 2: Convert to fraction form
    6,354/7,410 = 7,410/x
  3. Step 3: Cross multiply
    6,354x = 7,410 × 7,410
  4. Step 4: Simplify right side
    6,354x = 54,908,100
  5. Step 5: Solve for x
    x = 54,908,100/6,354
  6. Step 6: Final answer
    x = 8,641.50

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.