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Finding the Third Proportional to 5,582 and 12,133

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Solution

The third proportional to 5,582 and 12,133 is: 26,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582 : 12,133 = 12,133 : x
  2. Step 2: Convert to fraction form
    5,582/12,133 = 12,133/x
  3. Step 3: Cross multiply
    5,582x = 12,133 × 12,133
  4. Step 4: Simplify right side
    5,582x = 147,209,689
  5. Step 5: Solve for x
    x = 147,209,689/5,582
  6. Step 6: Final answer
    x = 26,372.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.