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Finding the Third Proportional to 4,158 and 5,461

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Solution

The third proportional to 4,158 and 5,461 is: 7,172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158 : 5,461 = 5,461 : x
  2. Step 2: Convert to fraction form
    4,158/5,461 = 5,461/x
  3. Step 3: Cross multiply
    4,158x = 5,461 × 5,461
  4. Step 4: Simplify right side
    4,158x = 29,822,521
  5. Step 5: Solve for x
    x = 29,822,521/4,158
  6. Step 6: Final answer
    x = 7,172.32

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.