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Finding the Third Proportional to 15,228.56 and 23,436.84

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Solution

The third proportional to 15,228.56 and 23,436.84 is: 36,069.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,228.56 : 23,436.84 = 23,436.84 : x
  2. Step 2: Convert to fraction form
    15,228.56/23,436.84 = 23,436.84/x
  3. Step 3: Cross multiply
    15,228.56x = 23,436.84 × 23,436.84
  4. Step 4: Simplify right side
    15,228.56x = 549,285,644.96
  5. Step 5: Solve for x
    x = 549,285,644.96/15,228.56
  6. Step 6: Final answer
    x = 36,069.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.