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Finding the Third Proportional to 4,547.81 and 7,231.78

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Solution

The third proportional to 4,547.81 and 7,231.78 is: 11,499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.81 : 7,231.78 = 7,231.78 : x
  2. Step 2: Convert to fraction form
    4,547.81/7,231.78 = 7,231.78/x
  3. Step 3: Cross multiply
    4,547.81x = 7,231.78 × 7,231.78
  4. Step 4: Simplify right side
    4,547.81x = 52,298,660.05
  5. Step 5: Solve for x
    x = 52,298,660.05/4,547.81
  6. Step 6: Final answer
    x = 11,499.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.