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Finding the Third Proportional to 15,327 and 23,436.25

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Solution

The third proportional to 15,327 and 23,436.25 is: 35,835.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,327 : 23,436.25 = 23,436.25 : x
  2. Step 2: Convert to fraction form
    15,327/23,436.25 = 23,436.25/x
  3. Step 3: Cross multiply
    15,327x = 23,436.25 × 23,436.25
  4. Step 4: Simplify right side
    15,327x = 549,257,814.06
  5. Step 5: Solve for x
    x = 549,257,814.06/15,327
  6. Step 6: Final answer
    x = 35,835.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.