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Finding the Third Proportional to 4,497.87 and 6,573.81

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Solution

The third proportional to 4,497.87 and 6,573.81 is: 9,607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.87 : 6,573.81 = 6,573.81 : x
  2. Step 2: Convert to fraction form
    4,497.87/6,573.81 = 6,573.81/x
  3. Step 3: Cross multiply
    4,497.87x = 6,573.81 × 6,573.81
  4. Step 4: Simplify right side
    4,497.87x = 43,215,036.46
  5. Step 5: Solve for x
    x = 43,215,036.46/4,497.87
  6. Step 6: Final answer
    x = 9,607.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.