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Finding the Third Proportional to 7,457 and 16,084

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Solution

The third proportional to 7,457 and 16,084 is: 34,691.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457 : 16,084 = 16,084 : x
  2. Step 2: Convert to fraction form
    7,457/16,084 = 16,084/x
  3. Step 3: Cross multiply
    7,457x = 16,084 × 16,084
  4. Step 4: Simplify right side
    7,457x = 258,695,056
  5. Step 5: Solve for x
    x = 258,695,056/7,457
  6. Step 6: Final answer
    x = 34,691.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.