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Finding the Third Proportional to 4,330.81 and 9,276.71

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Solution

The third proportional to 4,330.81 and 9,276.71 is: 19,870.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,330.81 : 9,276.71 = 9,276.71 : x
  2. Step 2: Convert to fraction form
    4,330.81/9,276.71 = 9,276.71/x
  3. Step 3: Cross multiply
    4,330.81x = 9,276.71 × 9,276.71
  4. Step 4: Simplify right side
    4,330.81x = 86,057,438.29
  5. Step 5: Solve for x
    x = 86,057,438.29/4,330.81
  6. Step 6: Final answer
    x = 19,870.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.