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Finding the Third Proportional to 12,345 and 18,625.50

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Solution

The third proportional to 12,345 and 18,625.50 is: 28,101.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,345 : 18,625.50 = 18,625.50 : x
  2. Step 2: Convert to fraction form
    12,345/18,625.50 = 18,625.50/x
  3. Step 3: Cross multiply
    12,345x = 18,625.50 × 18,625.50
  4. Step 4: Simplify right side
    12,345x = 346,909,250.25
  5. Step 5: Solve for x
    x = 346,909,250.25/12,345
  6. Step 6: Final answer
    x = 28,101.19

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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.