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Finding the Third Proportional to 5,482.50 and 8,504.63

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Solution

The third proportional to 5,482.50 and 8,504.63 is: 13,192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.50 : 8,504.63 = 8,504.63 : x
  2. Step 2: Convert to fraction form
    5,482.50/8,504.63 = 8,504.63/x
  3. Step 3: Cross multiply
    5,482.50x = 8,504.63 × 8,504.63
  4. Step 4: Simplify right side
    5,482.50x = 72,328,646.39
  5. Step 5: Solve for x
    x = 72,328,646.39/5,482.50
  6. Step 6: Final answer
    x = 13,192.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.