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Finding the Third Proportional to 12,348 and 18,627.75

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Solution

The third proportional to 12,348 and 18,627.75 is: 28,101.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348 : 18,627.75 = 18,627.75 : x
  2. Step 2: Convert to fraction form
    12,348/18,627.75 = 18,627.75/x
  3. Step 3: Cross multiply
    12,348x = 18,627.75 × 18,627.75
  4. Step 4: Simplify right side
    12,348x = 346,993,070.06
  5. Step 5: Solve for x
    x = 346,993,070.06/12,348
  6. Step 6: Final answer
    x = 28,101.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.