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Finding the Third Proportional to 18,202 and 24,459.50

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Solution

The third proportional to 18,202 and 24,459.50 is: 32,868.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,202 : 24,459.50 = 24,459.50 : x
  2. Step 2: Convert to fraction form
    18,202/24,459.50 = 24,459.50/x
  3. Step 3: Cross multiply
    18,202x = 24,459.50 × 24,459.50
  4. Step 4: Simplify right side
    18,202x = 598,267,140.25
  5. Step 5: Solve for x
    x = 598,267,140.25/18,202
  6. Step 6: Final answer
    x = 32,868.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.