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Finding the Third Proportional to 6,482.25 and 8,913.38

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Solution

The third proportional to 6,482.25 and 8,913.38 is: 12,256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.25 : 8,913.38 = 8,913.38 : x
  2. Step 2: Convert to fraction form
    6,482.25/8,913.38 = 8,913.38/x
  3. Step 3: Cross multiply
    6,482.25x = 8,913.38 × 8,913.38
  4. Step 4: Simplify right side
    6,482.25x = 79,448,253.89
  5. Step 5: Solve for x
    x = 79,448,253.89/6,482.25
  6. Step 6: Final answer
    x = 12,256.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.