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Finding the Third Proportional to 5,410 and 6,154

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Solution

The third proportional to 5,410 and 6,154 is: 7,000.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410 : 6,154 = 6,154 : x
  2. Step 2: Convert to fraction form
    5,410/6,154 = 6,154/x
  3. Step 3: Cross multiply
    5,410x = 6,154 × 6,154
  4. Step 4: Simplify right side
    5,410x = 37,871,716
  5. Step 5: Solve for x
    x = 37,871,716/5,410
  6. Step 6: Final answer
    x = 7,000.32

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.