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Finding the Third Proportional to 5,775.47 and 8,259.05

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Solution

The third proportional to 5,775.47 and 8,259.05 is: 11,810.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.47 : 8,259.05 = 8,259.05 : x
  2. Step 2: Convert to fraction form
    5,775.47/8,259.05 = 8,259.05/x
  3. Step 3: Cross multiply
    5,775.47x = 8,259.05 × 8,259.05
  4. Step 4: Simplify right side
    5,775.47x = 68,211,855.28
  5. Step 5: Solve for x
    x = 68,211,855.28/5,775.47
  6. Step 6: Final answer
    x = 11,810.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.