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Finding the Third Proportional to 9,599.34 and 14,533.17

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Solution

The third proportional to 9,599.34 and 14,533.17 is: 22,002.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.34 : 14,533.17 = 14,533.17 : x
  2. Step 2: Convert to fraction form
    9,599.34/14,533.17 = 14,533.17/x
  3. Step 3: Cross multiply
    9,599.34x = 14,533.17 × 14,533.17
  4. Step 4: Simplify right side
    9,599.34x = 211,213,084.75
  5. Step 5: Solve for x
    x = 211,213,084.75/9,599.34
  6. Step 6: Final answer
    x = 22,002.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.