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Finding the Third Proportional to 7,304.24 and 10,905.10

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Solution

The third proportional to 7,304.24 and 10,905.10 is: 16,281.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,304.24 : 10,905.10 = 10,905.10 : x
  2. Step 2: Convert to fraction form
    7,304.24/10,905.10 = 10,905.10/x
  3. Step 3: Cross multiply
    7,304.24x = 10,905.10 × 10,905.10
  4. Step 4: Simplify right side
    7,304.24x = 118,921,197.49
  5. Step 5: Solve for x
    x = 118,921,197.49/7,304.24
  6. Step 6: Final answer
    x = 16,281.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.