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Finding the Third Proportional to 7,329.87 and 14,931.21

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Solution

The third proportional to 7,329.87 and 14,931.21 is: 30,415.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,329.87 : 14,931.21 = 14,931.21 : x
  2. Step 2: Convert to fraction form
    7,329.87/14,931.21 = 14,931.21/x
  3. Step 3: Cross multiply
    7,329.87x = 14,931.21 × 14,931.21
  4. Step 4: Simplify right side
    7,329.87x = 222,941,060.06
  5. Step 5: Solve for x
    x = 222,941,060.06/7,329.87
  6. Step 6: Final answer
    x = 30,415.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.