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Finding the Third Proportional to 12,327 and 26,734.50

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Solution

The third proportional to 12,327 and 26,734.50 is: 57,981.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,327 : 26,734.50 = 26,734.50 : x
  2. Step 2: Convert to fraction form
    12,327/26,734.50 = 26,734.50/x
  3. Step 3: Cross multiply
    12,327x = 26,734.50 × 26,734.50
  4. Step 4: Simplify right side
    12,327x = 714,733,490.25
  5. Step 5: Solve for x
    x = 714,733,490.25/12,327
  6. Step 6: Final answer
    x = 57,981.14

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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.