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Finding the Third Proportional to 18,349.50 and 30,157.50

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Solution

The third proportional to 18,349.50 and 30,157.50 is: 49,564.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,349.50 : 30,157.50 = 30,157.50 : x
  2. Step 2: Convert to fraction form
    18,349.50/30,157.50 = 30,157.50/x
  3. Step 3: Cross multiply
    18,349.50x = 30,157.50 × 30,157.50
  4. Step 4: Simplify right side
    18,349.50x = 909,474,806.25
  5. Step 5: Solve for x
    x = 909,474,806.25/18,349.50
  6. Step 6: Final answer
    x = 49,564.01

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.