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Finding the Third Proportional to 4,529.67 and 6,999.54

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Solution

The third proportional to 4,529.67 and 6,999.54 is: 10,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,529.67 : 6,999.54 = 6,999.54 : x
  2. Step 2: Convert to fraction form
    4,529.67/6,999.54 = 6,999.54/x
  3. Step 3: Cross multiply
    4,529.67x = 6,999.54 × 6,999.54
  4. Step 4: Simplify right side
    4,529.67x = 48,993,547.09
  5. Step 5: Solve for x
    x = 48,993,547.09/4,529.67
  6. Step 6: Final answer
    x = 10,816.14

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Why These Related Problems?

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