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Finding the Third Proportional to 912 and 2,141

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Solution

The third proportional to 912 and 2,141 is: 5,026.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    912 : 2,141 = 2,141 : x
  2. Step 2: Convert to fraction form
    912/2,141 = 2,141/x
  3. Step 3: Cross multiply
    912x = 2,141 × 2,141
  4. Step 4: Simplify right side
    912x = 4,583,881
  5. Step 5: Solve for x
    x = 4,583,881/912
  6. Step 6: Final answer
    x = 5,026.19

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.