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Finding the Third Proportional to 3,410 and 7,076

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Solution

The third proportional to 3,410 and 7,076 is: 14,683.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410 : 7,076 = 7,076 : x
  2. Step 2: Convert to fraction form
    3,410/7,076 = 7,076/x
  3. Step 3: Cross multiply
    3,410x = 7,076 × 7,076
  4. Step 4: Simplify right side
    3,410x = 50,069,776
  5. Step 5: Solve for x
    x = 50,069,776/3,410
  6. Step 6: Final answer
    x = 14,683.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.