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Finding the Third Proportional to 13,421 and 36,225.50

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Solution

The third proportional to 13,421 and 36,225.50 is: 97,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,421 : 36,225.50 = 36,225.50 : x
  2. Step 2: Convert to fraction form
    13,421/36,225.50 = 36,225.50/x
  3. Step 3: Cross multiply
    13,421x = 36,225.50 × 36,225.50
  4. Step 4: Simplify right side
    13,421x = 1,312,286,850.25
  5. Step 5: Solve for x
    x = 1,312,286,850.25/13,421
  6. Step 6: Final answer
    x = 97,778.62

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.