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Finding the Third Proportional to 5,345 and 11,418

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Solution

The third proportional to 5,345 and 11,418 is: 24,391.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,345 : 11,418 = 11,418 : x
  2. Step 2: Convert to fraction form
    5,345/11,418 = 11,418/x
  3. Step 3: Cross multiply
    5,345x = 11,418 × 11,418
  4. Step 4: Simplify right side
    5,345x = 130,370,724
  5. Step 5: Solve for x
    x = 130,370,724/5,345
  6. Step 6: Final answer
    x = 24,391.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.