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Finding the Third Proportional to 7,146 and 16,578

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Solution

The third proportional to 7,146 and 16,578 is: 38,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146 : 16,578 = 16,578 : x
  2. Step 2: Convert to fraction form
    7,146/16,578 = 16,578/x
  3. Step 3: Cross multiply
    7,146x = 16,578 × 16,578
  4. Step 4: Simplify right side
    7,146x = 274,830,084
  5. Step 5: Solve for x
    x = 274,830,084/7,146
  6. Step 6: Final answer
    x = 38,459.29

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.