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Finding the Third Proportional to 5,482.50 and 8,360.50

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Solution

The third proportional to 5,482.50 and 8,360.50 is: 12,749.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.50 : 8,360.50 = 8,360.50 : x
  2. Step 2: Convert to fraction form
    5,482.50/8,360.50 = 8,360.50/x
  3. Step 3: Cross multiply
    5,482.50x = 8,360.50 × 8,360.50
  4. Step 4: Simplify right side
    5,482.50x = 69,897,960.25
  5. Step 5: Solve for x
    x = 69,897,960.25/5,482.50
  6. Step 6: Final answer
    x = 12,749.29

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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.