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Finding the Third Proportional to 13,461 and 20,482.50

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Solution

The third proportional to 13,461 and 20,482.50 is: 31,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461 : 20,482.50 = 20,482.50 : x
  2. Step 2: Convert to fraction form
    13,461/20,482.50 = 20,482.50/x
  3. Step 3: Cross multiply
    13,461x = 20,482.50 × 20,482.50
  4. Step 4: Simplify right side
    13,461x = 419,532,806.25
  5. Step 5: Solve for x
    x = 419,532,806.25/13,461
  6. Step 6: Final answer
    x = 31,166.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.