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Finding the Third Proportional to 9,928.13 and 15,436.75

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Solution

The third proportional to 9,928.13 and 15,436.75 is: 24,001.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,928.13 : 15,436.75 = 15,436.75 : x
  2. Step 2: Convert to fraction form
    9,928.13/15,436.75 = 15,436.75/x
  3. Step 3: Cross multiply
    9,928.13x = 15,436.75 × 15,436.75
  4. Step 4: Simplify right side
    9,928.13x = 238,293,250.56
  5. Step 5: Solve for x
    x = 238,293,250.56/9,928.13
  6. Step 6: Final answer
    x = 24,001.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.