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Finding the Third Proportional to 9,496 and 14,741.88

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Solution

The third proportional to 9,496 and 14,741.88 is: 22,885.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496 : 14,741.88 = 14,741.88 : x
  2. Step 2: Convert to fraction form
    9,496/14,741.88 = 14,741.88/x
  3. Step 3: Cross multiply
    9,496x = 14,741.88 × 14,741.88
  4. Step 4: Simplify right side
    9,496x = 217,322,878.52
  5. Step 5: Solve for x
    x = 217,322,878.52/9,496
  6. Step 6: Final answer
    x = 22,885.73

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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.